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Finding the Third Proportional to 175,342 and 250,721

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Solution

The third proportional to 175,342 and 250,721 is: 358,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,342 : 250,721 = 250,721 : x
  2. Step 2: Convert to fraction form
    175,342/250,721 = 250,721/x
  3. Step 3: Cross multiply
    175,342x = 250,721 × 250,721
  4. Step 4: Simplify right side
    175,342x = 62,861,019,841
  5. Step 5: Solve for x
    x = 62,861,019,841/175,342
  6. Step 6: Final answer
    x = 358,505.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.