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Finding the Third Proportional to 144,235 and 315,616

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Solution

The third proportional to 144,235 and 315,616 is: 690,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,235 : 315,616 = 315,616 : x
  2. Step 2: Convert to fraction form
    144,235/315,616 = 315,616/x
  3. Step 3: Cross multiply
    144,235x = 315,616 × 315,616
  4. Step 4: Simplify right side
    144,235x = 99,613,459,456
  5. Step 5: Solve for x
    x = 99,613,459,456/144,235
  6. Step 6: Final answer
    x = 690,633.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.