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Finding the Third Proportional to 187,535.25 and 366,504.75

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Solution

The third proportional to 187,535.25 and 366,504.75 is: 716,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,535.25 : 366,504.75 = 366,504.75 : x
  2. Step 2: Convert to fraction form
    187,535.25/366,504.75 = 366,504.75/x
  3. Step 3: Cross multiply
    187,535.25x = 366,504.75 × 366,504.75
  4. Step 4: Simplify right side
    187,535.25x = 134,325,731,772.56
  5. Step 5: Solve for x
    x = 134,325,731,772.56/187,535.25
  6. Step 6: Final answer
    x = 716,269.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.