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Finding the Third Proportional to 131,831 and 282,344

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Solution

The third proportional to 131,831 and 282,344 is: 604,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,831 : 282,344 = 282,344 : x
  2. Step 2: Convert to fraction form
    131,831/282,344 = 282,344/x
  3. Step 3: Cross multiply
    131,831x = 282,344 × 282,344
  4. Step 4: Simplify right side
    131,831x = 79,718,134,336
  5. Step 5: Solve for x
    x = 79,718,134,336/131,831
  6. Step 6: Final answer
    x = 604,699.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.