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Finding the Third Proportional to 131,005 and 282,927

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Solution

The third proportional to 131,005 and 282,927 is: 611,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,005 : 282,927 = 282,927 : x
  2. Step 2: Convert to fraction form
    131,005/282,927 = 282,927/x
  3. Step 3: Cross multiply
    131,005x = 282,927 × 282,927
  4. Step 4: Simplify right side
    131,005x = 80,047,687,329
  5. Step 5: Solve for x
    x = 80,047,687,329/131,005
  6. Step 6: Final answer
    x = 611,027.73

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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.