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Finding the Third Proportional to 240,131.25 and 360,834.75

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Solution

The third proportional to 240,131.25 and 360,834.75 is: 542,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,131.25 : 360,834.75 = 360,834.75 : x
  2. Step 2: Convert to fraction form
    240,131.25/360,834.75 = 360,834.75/x
  3. Step 3: Cross multiply
    240,131.25x = 360,834.75 × 360,834.75
  4. Step 4: Simplify right side
    240,131.25x = 130,201,716,807.56
  5. Step 5: Solve for x
    x = 130,201,716,807.56/240,131.25
  6. Step 6: Final answer
    x = 542,210.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.