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Finding the Third Proportional to 137,325.75 and 300,834.13

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Solution

The third proportional to 137,325.75 and 300,834.13 is: 659,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,325.75 : 300,834.13 = 300,834.13 : x
  2. Step 2: Convert to fraction form
    137,325.75/300,834.13 = 300,834.13/x
  3. Step 3: Cross multiply
    137,325.75x = 300,834.13 × 300,834.13
  4. Step 4: Simplify right side
    137,325.75x = 90,501,170,764.52
  5. Step 5: Solve for x
    x = 90,501,170,764.52/137,325.75
  6. Step 6: Final answer
    x = 659,025.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.