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Finding the Third Proportional to 244,855.69 and 346,780.41

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Solution

The third proportional to 244,855.69 and 346,780.41 is: 491,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,855.69 : 346,780.41 = 346,780.41 : x
  2. Step 2: Convert to fraction form
    244,855.69/346,780.41 = 346,780.41/x
  3. Step 3: Cross multiply
    244,855.69x = 346,780.41 × 346,780.41
  4. Step 4: Simplify right side
    244,855.69x = 120,256,650,158.92
  5. Step 5: Solve for x
    x = 120,256,650,158.92/244,855.69
  6. Step 6: Final answer
    x = 491,132.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.