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Finding the Third Proportional to 249,198.75 and 376,390.13

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Solution

The third proportional to 249,198.75 and 376,390.13 is: 568,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,198.75 : 376,390.13 = 376,390.13 : x
  2. Step 2: Convert to fraction form
    249,198.75/376,390.13 = 376,390.13/x
  3. Step 3: Cross multiply
    249,198.75x = 376,390.13 × 376,390.13
  4. Step 4: Simplify right side
    249,198.75x = 141,669,526,197.52
  5. Step 5: Solve for x
    x = 141,669,526,197.52/249,198.75
  6. Step 6: Final answer
    x = 568,500.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.