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Finding the Third Proportional to 157,604 and 337,354

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Solution

The third proportional to 157,604 and 337,354 is: 722,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,604 : 337,354 = 337,354 : x
  2. Step 2: Convert to fraction form
    157,604/337,354 = 337,354/x
  3. Step 3: Cross multiply
    157,604x = 337,354 × 337,354
  4. Step 4: Simplify right side
    157,604x = 113,807,721,316
  5. Step 5: Solve for x
    x = 113,807,721,316/157,604
  6. Step 6: Final answer
    x = 722,111.88

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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.