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Finding the Third Proportional to 132,679.13 and 277,660.13

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Solution

The third proportional to 132,679.13 and 277,660.13 is: 581,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,679.13 : 277,660.13 = 277,660.13 : x
  2. Step 2: Convert to fraction form
    132,679.13/277,660.13 = 277,660.13/x
  3. Step 3: Cross multiply
    132,679.13x = 277,660.13 × 277,660.13
  4. Step 4: Simplify right side
    132,679.13x = 77,095,145,015.02
  5. Step 5: Solve for x
    x = 77,095,145,015.02/132,679.13
  6. Step 6: Final answer
    x = 581,064.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.