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Finding the Third Proportional to 76,327.50 and 165,367

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Solution

The third proportional to 76,327.50 and 165,367 is: 358,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,327.50 : 165,367 = 165,367 : x
  2. Step 2: Convert to fraction form
    76,327.50/165,367 = 165,367/x
  3. Step 3: Cross multiply
    76,327.50x = 165,367 × 165,367
  4. Step 4: Simplify right side
    76,327.50x = 27,346,244,689
  5. Step 5: Solve for x
    x = 27,346,244,689/76,327.50
  6. Step 6: Final answer
    x = 358,275.13

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