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Finding the Third Proportional to 66,550.50 and 160,605

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Solution

The third proportional to 66,550.50 and 160,605 is: 387,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,550.50 : 160,605 = 160,605 : x
  2. Step 2: Convert to fraction form
    66,550.50/160,605 = 160,605/x
  3. Step 3: Cross multiply
    66,550.50x = 160,605 × 160,605
  4. Step 4: Simplify right side
    66,550.50x = 25,793,966,025
  5. Step 5: Solve for x
    x = 25,793,966,025/66,550.50
  6. Step 6: Final answer
    x = 387,584.86

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.