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Finding the Third Proportional to 76,476.66 and 165,255.19

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Solution

The third proportional to 76,476.66 and 165,255.19 is: 357,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476.66 : 165,255.19 = 165,255.19 : x
  2. Step 2: Convert to fraction form
    76,476.66/165,255.19 = 165,255.19/x
  3. Step 3: Cross multiply
    76,476.66x = 165,255.19 × 165,255.19
  4. Step 4: Simplify right side
    76,476.66x = 27,309,276,995.66
  5. Step 5: Solve for x
    x = 27,309,276,995.66/76,476.66
  6. Step 6: Final answer
    x = 357,092.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.