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Finding the Third Proportional to 76,084 and 167,355

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Solution

The third proportional to 76,084 and 167,355 is: 368,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,084 : 167,355 = 167,355 : x
  2. Step 2: Convert to fraction form
    76,084/167,355 = 167,355/x
  3. Step 3: Cross multiply
    76,084x = 167,355 × 167,355
  4. Step 4: Simplify right side
    76,084x = 28,007,696,025
  5. Step 5: Solve for x
    x = 28,007,696,025/76,084
  6. Step 6: Final answer
    x = 368,115.45

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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.