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Finding the Third Proportional to 165,342.56 and 247,370.34

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Solution

The third proportional to 165,342.56 and 247,370.34 is: 370,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,342.56 : 247,370.34 = 247,370.34 : x
  2. Step 2: Convert to fraction form
    165,342.56/247,370.34 = 247,370.34/x
  3. Step 3: Cross multiply
    165,342.56x = 247,370.34 × 247,370.34
  4. Step 4: Simplify right side
    165,342.56x = 61,192,086,966.99
  5. Step 5: Solve for x
    x = 61,192,086,966.99/165,342.56
  6. Step 6: Final answer
    x = 370,092.77

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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.