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Finding the Third Proportional to 240,854.25 and 518,705.25

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Solution

The third proportional to 240,854.25 and 518,705.25 is: 1,117,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,854.25 : 518,705.25 = 518,705.25 : x
  2. Step 2: Convert to fraction form
    240,854.25/518,705.25 = 518,705.25/x
  3. Step 3: Cross multiply
    240,854.25x = 518,705.25 × 518,705.25
  4. Step 4: Simplify right side
    240,854.25x = 269,055,136,377.56
  5. Step 5: Solve for x
    x = 269,055,136,377.56/240,854.25
  6. Step 6: Final answer
    x = 1,117,086.94

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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.