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Finding the Third Proportional to 113,398.30 and 164,777.85

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Solution

The third proportional to 113,398.30 and 164,777.85 is: 239,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,398.30 : 164,777.85 = 164,777.85 : x
  2. Step 2: Convert to fraction form
    113,398.30/164,777.85 = 164,777.85/x
  3. Step 3: Cross multiply
    113,398.30x = 164,777.85 × 164,777.85
  4. Step 4: Simplify right side
    113,398.30x = 27,151,739,560.97
  5. Step 5: Solve for x
    x = 27,151,739,560.97/113,398.30
  6. Step 6: Final answer
    x = 239,436.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.