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Finding the Third Proportional to 73,937.25 and 160,329.38

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Solution

The third proportional to 73,937.25 and 160,329.38 is: 347,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,937.25 : 160,329.38 = 160,329.38 : x
  2. Step 2: Convert to fraction form
    73,937.25/160,329.38 = 160,329.38/x
  3. Step 3: Cross multiply
    73,937.25x = 160,329.38 × 160,329.38
  4. Step 4: Simplify right side
    73,937.25x = 25,705,508,487.89
  5. Step 5: Solve for x
    x = 25,705,508,487.89/73,937.25
  6. Step 6: Final answer
    x = 347,666.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.