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Finding the Third Proportional to 231,169.89 and 362,728.76

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Solution

The third proportional to 231,169.89 and 362,728.76 is: 569,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,169.89 : 362,728.76 = 362,728.76 : x
  2. Step 2: Convert to fraction form
    231,169.89/362,728.76 = 362,728.76/x
  3. Step 3: Cross multiply
    231,169.89x = 362,728.76 × 362,728.76
  4. Step 4: Simplify right side
    231,169.89x = 131,572,151,744.20
  5. Step 5: Solve for x
    x = 131,572,151,744.20/231,169.89
  6. Step 6: Final answer
    x = 569,157.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.