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Finding the Third Proportional to 214,616.25 and 423,829.13

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Solution

The third proportional to 214,616.25 and 423,829.13 is: 836,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,616.25 : 423,829.13 = 423,829.13 : x
  2. Step 2: Convert to fraction form
    214,616.25/423,829.13 = 423,829.13/x
  3. Step 3: Cross multiply
    214,616.25x = 423,829.13 × 423,829.13
  4. Step 4: Simplify right side
    214,616.25x = 179,631,127,198.27
  5. Step 5: Solve for x
    x = 179,631,127,198.27/214,616.25
  6. Step 6: Final answer
    x = 836,987.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.