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Finding the Third Proportional to 342,154.13 and 500,230.69

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Solution

The third proportional to 342,154.13 and 500,230.69 is: 731,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,154.13 : 500,230.69 = 500,230.69 : x
  2. Step 2: Convert to fraction form
    342,154.13/500,230.69 = 500,230.69/x
  3. Step 3: Cross multiply
    342,154.13x = 500,230.69 × 500,230.69
  4. Step 4: Simplify right side
    342,154.13x = 250,230,740,716.72
  5. Step 5: Solve for x
    x = 250,230,740,716.72/342,154.13
  6. Step 6: Final answer
    x = 731,339.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.