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Finding the Third Proportional to 131,367 and 283,362

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Solution

The third proportional to 131,367 and 283,362 is: 611,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,367 : 283,362 = 283,362 : x
  2. Step 2: Convert to fraction form
    131,367/283,362 = 283,362/x
  3. Step 3: Cross multiply
    131,367x = 283,362 × 283,362
  4. Step 4: Simplify right side
    131,367x = 80,294,023,044
  5. Step 5: Solve for x
    x = 80,294,023,044/131,367
  6. Step 6: Final answer
    x = 611,219.13

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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.