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Finding the Third Proportional to 160,966.50 and 218,613.75

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Solution

The third proportional to 160,966.50 and 218,613.75 is: 296,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,966.50 : 218,613.75 = 218,613.75 : x
  2. Step 2: Convert to fraction form
    160,966.50/218,613.75 = 218,613.75/x
  3. Step 3: Cross multiply
    160,966.50x = 218,613.75 × 218,613.75
  4. Step 4: Simplify right side
    160,966.50x = 47,791,971,689.06
  5. Step 5: Solve for x
    x = 47,791,971,689.06/160,966.50
  6. Step 6: Final answer
    x = 296,906.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.