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Finding the Third Proportional to 131,552 and 285,280

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Solution

The third proportional to 131,552 and 285,280 is: 618,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,552 : 285,280 = 285,280 : x
  2. Step 2: Convert to fraction form
    131,552/285,280 = 285,280/x
  3. Step 3: Cross multiply
    131,552x = 285,280 × 285,280
  4. Step 4: Simplify right side
    131,552x = 81,384,678,400
  5. Step 5: Solve for x
    x = 81,384,678,400/131,552
  6. Step 6: Final answer
    x = 618,650.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.