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Finding the Third Proportional to 157,614 and 337,368

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Solution

The third proportional to 157,614 and 337,368 is: 722,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,614 : 337,368 = 337,368 : x
  2. Step 2: Convert to fraction form
    157,614/337,368 = 337,368/x
  3. Step 3: Cross multiply
    157,614x = 337,368 × 337,368
  4. Step 4: Simplify right side
    157,614x = 113,817,167,424
  5. Step 5: Solve for x
    x = 113,817,167,424/157,614
  6. Step 6: Final answer
    x = 722,126.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.