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Finding the Third Proportional to 130,658.06 and 277,016.20

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Solution

The third proportional to 130,658.06 and 277,016.20 is: 587,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,658.06 : 277,016.20 = 277,016.20 : x
  2. Step 2: Convert to fraction form
    130,658.06/277,016.20 = 277,016.20/x
  3. Step 3: Cross multiply
    130,658.06x = 277,016.20 × 277,016.20
  4. Step 4: Simplify right side
    130,658.06x = 76,737,976,793.79
  5. Step 5: Solve for x
    x = 76,737,976,793.79/130,658.06
  6. Step 6: Final answer
    x = 587,319.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.