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Finding the Third Proportional to 249,861.38 and 381,003.75

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Solution

The third proportional to 249,861.38 and 381,003.75 is: 580,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,861.38 : 381,003.75 = 381,003.75 : x
  2. Step 2: Convert to fraction form
    249,861.38/381,003.75 = 381,003.75/x
  3. Step 3: Cross multiply
    249,861.38x = 381,003.75 × 381,003.75
  4. Step 4: Simplify right side
    249,861.38x = 145,163,857,514.06
  5. Step 5: Solve for x
    x = 145,163,857,514.06/249,861.38
  6. Step 6: Final answer
    x = 580,977.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.