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Finding the Third Proportional to 131,016 and 282,949

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Solution

The third proportional to 131,016 and 282,949 is: 611,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,016 : 282,949 = 282,949 : x
  2. Step 2: Convert to fraction form
    131,016/282,949 = 282,949/x
  3. Step 3: Cross multiply
    131,016x = 282,949 × 282,949
  4. Step 4: Simplify right side
    131,016x = 80,060,136,601
  5. Step 5: Solve for x
    x = 80,060,136,601/131,016
  6. Step 6: Final answer
    x = 611,071.45

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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.