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Finding the Third Proportional to 105,200 and 226,440

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Solution

The third proportional to 105,200 and 226,440 is: 487,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,200 : 226,440 = 226,440 : x
  2. Step 2: Convert to fraction form
    105,200/226,440 = 226,440/x
  3. Step 3: Cross multiply
    105,200x = 226,440 × 226,440
  4. Step 4: Simplify right side
    105,200x = 51,275,073,600
  5. Step 5: Solve for x
    x = 51,275,073,600/105,200
  6. Step 6: Final answer
    x = 487,405.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.