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Finding the Third Proportional to 76,152 and 167,484

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Solution

The third proportional to 76,152 and 167,484 is: 368,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,152 : 167,484 = 167,484 : x
  2. Step 2: Convert to fraction form
    76,152/167,484 = 167,484/x
  3. Step 3: Cross multiply
    76,152x = 167,484 × 167,484
  4. Step 4: Simplify right side
    76,152x = 28,050,890,256
  5. Step 5: Solve for x
    x = 28,050,890,256/76,152
  6. Step 6: Final answer
    x = 368,353.95

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Why These Related Problems?

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