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Finding the Third Proportional to 113,344 and 166,882

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Solution

The third proportional to 113,344 and 166,882 is: 245,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,344 : 166,882 = 166,882 : x
  2. Step 2: Convert to fraction form
    113,344/166,882 = 166,882/x
  3. Step 3: Cross multiply
    113,344x = 166,882 × 166,882
  4. Step 4: Simplify right side
    113,344x = 27,849,601,924
  5. Step 5: Solve for x
    x = 27,849,601,924/113,344
  6. Step 6: Final answer
    x = 245,708.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.