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Finding the Third Proportional to 175,856 and 272,471

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Solution

The third proportional to 175,856 and 272,471 is: 422,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,856 : 272,471 = 272,471 : x
  2. Step 2: Convert to fraction form
    175,856/272,471 = 272,471/x
  3. Step 3: Cross multiply
    175,856x = 272,471 × 272,471
  4. Step 4: Simplify right side
    175,856x = 74,240,445,841
  5. Step 5: Solve for x
    x = 74,240,445,841/175,856
  6. Step 6: Final answer
    x = 422,166.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.