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Finding the Third Proportional to 113,323 and 166,677

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Solution

The third proportional to 113,323 and 166,677 is: 245,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,323 : 166,677 = 166,677 : x
  2. Step 2: Convert to fraction form
    113,323/166,677 = 166,677/x
  3. Step 3: Cross multiply
    113,323x = 166,677 × 166,677
  4. Step 4: Simplify right side
    113,323x = 27,781,222,329
  5. Step 5: Solve for x
    x = 27,781,222,329/113,323
  6. Step 6: Final answer
    x = 245,150.78

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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.