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Finding the Third Proportional to 79,978.25 and 185,151

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Solution

The third proportional to 79,978.25 and 185,151 is: 428,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,978.25 : 185,151 = 185,151 : x
  2. Step 2: Convert to fraction form
    79,978.25/185,151 = 185,151/x
  3. Step 3: Cross multiply
    79,978.25x = 185,151 × 185,151
  4. Step 4: Simplify right side
    79,978.25x = 34,280,892,801
  5. Step 5: Solve for x
    x = 34,280,892,801/79,978.25
  6. Step 6: Final answer
    x = 428,627.69

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.