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Finding the Third Proportional to 240,878.25 and 518,753.25

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Solution

The third proportional to 240,878.25 and 518,753.25 is: 1,117,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,878.25 : 518,753.25 = 518,753.25 : x
  2. Step 2: Convert to fraction form
    240,878.25/518,753.25 = 518,753.25/x
  3. Step 3: Cross multiply
    240,878.25x = 518,753.25 × 518,753.25
  4. Step 4: Simplify right side
    240,878.25x = 269,104,934,385.56
  5. Step 5: Solve for x
    x = 269,104,934,385.56/240,878.25
  6. Step 6: Final answer
    x = 1,117,182.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.