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Finding the Third Proportional to 157,734 and 344,604

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Solution

The third proportional to 157,734 and 344,604 is: 752,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,734 : 344,604 = 344,604 : x
  2. Step 2: Convert to fraction form
    157,734/344,604 = 344,604/x
  3. Step 3: Cross multiply
    157,734x = 344,604 × 344,604
  4. Step 4: Simplify right side
    157,734x = 118,751,916,816
  5. Step 5: Solve for x
    x = 118,751,916,816/157,734
  6. Step 6: Final answer
    x = 752,861.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.