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Finding the Third Proportional to 76,148.25 and 167,484

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Solution

The third proportional to 76,148.25 and 167,484 is: 368,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148.25 : 167,484 = 167,484 : x
  2. Step 2: Convert to fraction form
    76,148.25/167,484 = 167,484/x
  3. Step 3: Cross multiply
    76,148.25x = 167,484 × 167,484
  4. Step 4: Simplify right side
    76,148.25x = 28,050,890,256
  5. Step 5: Solve for x
    x = 28,050,890,256/76,148.25
  6. Step 6: Final answer
    x = 368,372.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.