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Finding the Third Proportional to 76,297.50 and 165,730.13

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Solution

The third proportional to 76,297.50 and 165,730.13 is: 359,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,297.50 : 165,730.13 = 165,730.13 : x
  2. Step 2: Convert to fraction form
    76,297.50/165,730.13 = 165,730.13/x
  3. Step 3: Cross multiply
    76,297.50x = 165,730.13 × 165,730.13
  4. Step 4: Simplify right side
    76,297.50x = 27,466,474,332.52
  5. Step 5: Solve for x
    x = 27,466,474,332.52/76,297.50
  6. Step 6: Final answer
    x = 359,991.80

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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.