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Finding the Third Proportional to 131,951.50 and 284,639

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Solution

The third proportional to 131,951.50 and 284,639 is: 614,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,951.50 : 284,639 = 284,639 : x
  2. Step 2: Convert to fraction form
    131,951.50/284,639 = 284,639/x
  3. Step 3: Cross multiply
    131,951.50x = 284,639 × 284,639
  4. Step 4: Simplify right side
    131,951.50x = 81,019,360,321
  5. Step 5: Solve for x
    x = 81,019,360,321/131,951.50
  6. Step 6: Final answer
    x = 614,008.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.