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Finding the Third Proportional to 77,084 and 168,280

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Solution

The third proportional to 77,084 and 168,280 is: 367,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,084 : 168,280 = 168,280 : x
  2. Step 2: Convert to fraction form
    77,084/168,280 = 168,280/x
  3. Step 3: Cross multiply
    77,084x = 168,280 × 168,280
  4. Step 4: Simplify right side
    77,084x = 28,318,158,400
  5. Step 5: Solve for x
    x = 28,318,158,400/77,084
  6. Step 6: Final answer
    x = 367,367.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.