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Finding the Third Proportional to 130,773.38 and 277,239.94

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Solution

The third proportional to 130,773.38 and 277,239.94 is: 587,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,773.38 : 277,239.94 = 277,239.94 : x
  2. Step 2: Convert to fraction form
    130,773.38/277,239.94 = 277,239.94/x
  3. Step 3: Cross multiply
    130,773.38x = 277,239.94 × 277,239.94
  4. Step 4: Simplify right side
    130,773.38x = 76,861,982,945.00
  5. Step 5: Solve for x
    x = 76,861,982,945.00/130,773.38
  6. Step 6: Final answer
    x = 587,749.48

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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.