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Finding the Third Proportional to 127,579.31 and 274,658.81

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Solution

The third proportional to 127,579.31 and 274,658.81 is: 591,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,579.31 : 274,658.81 = 274,658.81 : x
  2. Step 2: Convert to fraction form
    127,579.31/274,658.81 = 274,658.81/x
  3. Step 3: Cross multiply
    127,579.31x = 274,658.81 × 274,658.81
  4. Step 4: Simplify right side
    127,579.31x = 75,437,463,283.91
  5. Step 5: Solve for x
    x = 75,437,463,283.91/127,579.31
  6. Step 6: Final answer
    x = 591,298.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.