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Finding the Third Proportional to 144,394 and 316,687

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Solution

The third proportional to 144,394 and 316,687 is: 694,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,394 : 316,687 = 316,687 : x
  2. Step 2: Convert to fraction form
    144,394/316,687 = 316,687/x
  3. Step 3: Cross multiply
    144,394x = 316,687 × 316,687
  4. Step 4: Simplify right side
    144,394x = 100,290,655,969
  5. Step 5: Solve for x
    x = 100,290,655,969/144,394
  6. Step 6: Final answer
    x = 694,562.49

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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.