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Finding the Third Proportional to 230,834.81 and 345,325.78

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Solution

The third proportional to 230,834.81 and 345,325.78 is: 516,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,834.81 : 345,325.78 = 345,325.78 : x
  2. Step 2: Convert to fraction form
    230,834.81/345,325.78 = 345,325.78/x
  3. Step 3: Cross multiply
    230,834.81x = 345,325.78 × 345,325.78
  4. Step 4: Simplify right side
    230,834.81x = 119,249,895,195.92
  5. Step 5: Solve for x
    x = 119,249,895,195.92/230,834.81
  6. Step 6: Final answer
    x = 516,602.73

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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.