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Finding the Third Proportional to 251,471.25 and 490,293

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Solution

The third proportional to 251,471.25 and 490,293 is: 955,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,471.25 : 490,293 = 490,293 : x
  2. Step 2: Convert to fraction form
    251,471.25/490,293 = 490,293/x
  3. Step 3: Cross multiply
    251,471.25x = 490,293 × 490,293
  4. Step 4: Simplify right side
    251,471.25x = 240,387,225,849
  5. Step 5: Solve for x
    x = 240,387,225,849/251,471.25
  6. Step 6: Final answer
    x = 955,923.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.