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Finding the Third Proportional to 233,695.13 and 381,565.13

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Solution

The third proportional to 233,695.13 and 381,565.13 is: 622,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,695.13 : 381,565.13 = 381,565.13 : x
  2. Step 2: Convert to fraction form
    233,695.13/381,565.13 = 381,565.13/x
  3. Step 3: Cross multiply
    233,695.13x = 381,565.13 × 381,565.13
  4. Step 4: Simplify right side
    233,695.13x = 145,591,944,616.27
  5. Step 5: Solve for x
    x = 145,591,944,616.27/233,695.13
  6. Step 6: Final answer
    x = 622,999.49

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.