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Finding the Third Proportional to 240,924.50 and 518,182.50

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Solution

The third proportional to 240,924.50 and 518,182.50 is: 1,114,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,924.50 : 518,182.50 = 518,182.50 : x
  2. Step 2: Convert to fraction form
    240,924.50/518,182.50 = 518,182.50/x
  3. Step 3: Cross multiply
    240,924.50x = 518,182.50 × 518,182.50
  4. Step 4: Simplify right side
    240,924.50x = 268,513,103,306.25
  5. Step 5: Solve for x
    x = 268,513,103,306.25/240,924.50
  6. Step 6: Final answer
    x = 1,114,511.41

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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.