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Finding the Third Proportional to 130,761 and 277,218

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Solution

The third proportional to 130,761 and 277,218 is: 587,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,761 : 277,218 = 277,218 : x
  2. Step 2: Convert to fraction form
    130,761/277,218 = 277,218/x
  3. Step 3: Cross multiply
    130,761x = 277,218 × 277,218
  4. Step 4: Simplify right side
    130,761x = 76,849,819,524
  5. Step 5: Solve for x
    x = 76,849,819,524/130,761
  6. Step 6: Final answer
    x = 587,712.08

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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.