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Finding the Third Proportional to 231,142.50 and 366,756.75

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Solution

The third proportional to 231,142.50 and 366,756.75 is: 581,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,142.50 : 366,756.75 = 366,756.75 : x
  2. Step 2: Convert to fraction form
    231,142.50/366,756.75 = 366,756.75/x
  3. Step 3: Cross multiply
    231,142.50x = 366,756.75 × 366,756.75
  4. Step 4: Simplify right side
    231,142.50x = 134,510,513,670.56
  5. Step 5: Solve for x
    x = 134,510,513,670.56/231,142.50
  6. Step 6: Final answer
    x = 581,937.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.