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Finding the Third Proportional to 175,552 and 250,866

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Solution

The third proportional to 175,552 and 250,866 is: 358,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,552 : 250,866 = 250,866 : x
  2. Step 2: Convert to fraction form
    175,552/250,866 = 250,866/x
  3. Step 3: Cross multiply
    175,552x = 250,866 × 250,866
  4. Step 4: Simplify right side
    175,552x = 62,933,749,956
  5. Step 5: Solve for x
    x = 62,933,749,956/175,552
  6. Step 6: Final answer
    x = 358,490.65

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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.