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Finding the Third Proportional to 116,586.42 and 251,010.56

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Solution

The third proportional to 116,586.42 and 251,010.56 is: 540,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,586.42 : 251,010.56 = 251,010.56 : x
  2. Step 2: Convert to fraction form
    116,586.42/251,010.56 = 251,010.56/x
  3. Step 3: Cross multiply
    116,586.42x = 251,010.56 × 251,010.56
  4. Step 4: Simplify right side
    116,586.42x = 63,006,302,486.57
  5. Step 5: Solve for x
    x = 63,006,302,486.57/116,586.42
  6. Step 6: Final answer
    x = 540,425.73

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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.