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Finding the Third Proportional to 73,375 and 160,814

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Solution

The third proportional to 73,375 and 160,814 is: 352,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,375 : 160,814 = 160,814 : x
  2. Step 2: Convert to fraction form
    73,375/160,814 = 160,814/x
  3. Step 3: Cross multiply
    73,375x = 160,814 × 160,814
  4. Step 4: Simplify right side
    73,375x = 25,861,142,596
  5. Step 5: Solve for x
    x = 25,861,142,596/73,375
  6. Step 6: Final answer
    x = 352,451.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.