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Finding the Third Proportional to 160,707.75 and 237,781.13

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Solution

The third proportional to 160,707.75 and 237,781.13 is: 351,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,707.75 : 237,781.13 = 237,781.13 : x
  2. Step 2: Convert to fraction form
    160,707.75/237,781.13 = 237,781.13/x
  3. Step 3: Cross multiply
    160,707.75x = 237,781.13 × 237,781.13
  4. Step 4: Simplify right side
    160,707.75x = 56,539,863,406.27
  5. Step 5: Solve for x
    x = 56,539,863,406.27/160,707.75
  6. Step 6: Final answer
    x = 351,817.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.