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Finding the Third Proportional to 74,252 and 155,800

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Solution

The third proportional to 74,252 and 155,800 is: 326,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,252 : 155,800 = 155,800 : x
  2. Step 2: Convert to fraction form
    74,252/155,800 = 155,800/x
  3. Step 3: Cross multiply
    74,252x = 155,800 × 155,800
  4. Step 4: Simplify right side
    74,252x = 24,273,640,000
  5. Step 5: Solve for x
    x = 24,273,640,000/74,252
  6. Step 6: Final answer
    x = 326,908.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.