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Finding the Third Proportional to 66,800 and 155,320

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Solution

The third proportional to 66,800 and 155,320 is: 361,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,800 : 155,320 = 155,320 : x
  2. Step 2: Convert to fraction form
    66,800/155,320 = 155,320/x
  3. Step 3: Cross multiply
    66,800x = 155,320 × 155,320
  4. Step 4: Simplify right side
    66,800x = 24,124,302,400
  5. Step 5: Solve for x
    x = 24,124,302,400/66,800
  6. Step 6: Final answer
    x = 361,142.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.