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Finding the Third Proportional to 76,644 and 167,484

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Solution

The third proportional to 76,644 and 167,484 is: 365,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,644 : 167,484 = 167,484 : x
  2. Step 2: Convert to fraction form
    76,644/167,484 = 167,484/x
  3. Step 3: Cross multiply
    76,644x = 167,484 × 167,484
  4. Step 4: Simplify right side
    76,644x = 28,050,890,256
  5. Step 5: Solve for x
    x = 28,050,890,256/76,644
  6. Step 6: Final answer
    x = 365,989.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.