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Finding the Third Proportional to 107,471 and 252,788

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Solution

The third proportional to 107,471 and 252,788 is: 594,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,471 : 252,788 = 252,788 : x
  2. Step 2: Convert to fraction form
    107,471/252,788 = 252,788/x
  3. Step 3: Cross multiply
    107,471x = 252,788 × 252,788
  4. Step 4: Simplify right side
    107,471x = 63,901,772,944
  5. Step 5: Solve for x
    x = 63,901,772,944/107,471
  6. Step 6: Final answer
    x = 594,595.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.