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Finding the Third Proportional to 131,033 and 284,314

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Solution

The third proportional to 131,033 and 284,314 is: 616,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,033 : 284,314 = 284,314 : x
  2. Step 2: Convert to fraction form
    131,033/284,314 = 284,314/x
  3. Step 3: Cross multiply
    131,033x = 284,314 × 284,314
  4. Step 4: Simplify right side
    131,033x = 80,834,450,596
  5. Step 5: Solve for x
    x = 80,834,450,596/131,033
  6. Step 6: Final answer
    x = 616,901.47

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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.