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Finding the Third Proportional to 116,644 and 176,586

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Solution

The third proportional to 116,644 and 176,586 is: 267,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,644 : 176,586 = 176,586 : x
  2. Step 2: Convert to fraction form
    116,644/176,586 = 176,586/x
  3. Step 3: Cross multiply
    116,644x = 176,586 × 176,586
  4. Step 4: Simplify right side
    116,644x = 31,182,615,396
  5. Step 5: Solve for x
    x = 31,182,615,396/116,644
  6. Step 6: Final answer
    x = 267,331.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.