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Finding the Third Proportional to 160,471.13 and 244,999.69

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Solution

The third proportional to 160,471.13 and 244,999.69 is: 374,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,471.13 : 244,999.69 = 244,999.69 : x
  2. Step 2: Convert to fraction form
    160,471.13/244,999.69 = 244,999.69/x
  3. Step 3: Cross multiply
    160,471.13x = 244,999.69 × 244,999.69
  4. Step 4: Simplify right side
    160,471.13x = 60,024,846,875.10
  5. Step 5: Solve for x
    x = 60,024,846,875.10/160,471.13
  6. Step 6: Final answer
    x = 374,053.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.