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Finding the Third Proportional to 165,029 and 247,908

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Solution

The third proportional to 165,029 and 247,908 is: 372,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,029 : 247,908 = 247,908 : x
  2. Step 2: Convert to fraction form
    165,029/247,908 = 247,908/x
  3. Step 3: Cross multiply
    165,029x = 247,908 × 247,908
  4. Step 4: Simplify right side
    165,029x = 61,458,376,464
  5. Step 5: Solve for x
    x = 61,458,376,464/165,029
  6. Step 6: Final answer
    x = 372,409.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.