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Finding the Third Proportional to 231,295.50 and 362,917.13

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Solution

The third proportional to 231,295.50 and 362,917.13 is: 569,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,295.50 : 362,917.13 = 362,917.13 : x
  2. Step 2: Convert to fraction form
    231,295.50/362,917.13 = 362,917.13/x
  3. Step 3: Cross multiply
    231,295.50x = 362,917.13 × 362,917.13
  4. Step 4: Simplify right side
    231,295.50x = 131,708,839,618.27
  5. Step 5: Solve for x
    x = 131,708,839,618.27/231,295.50
  6. Step 6: Final answer
    x = 569,439.70

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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.