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Finding the Third Proportional to 240,921.56 and 518,176.13

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Solution

The third proportional to 240,921.56 and 518,176.13 is: 1,114,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,921.56 : 518,176.13 = 518,176.13 : x
  2. Step 2: Convert to fraction form
    240,921.56/518,176.13 = 518,176.13/x
  3. Step 3: Cross multiply
    240,921.56x = 518,176.13 × 518,176.13
  4. Step 4: Simplify right side
    240,921.56x = 268,506,496,520.02
  5. Step 5: Solve for x
    x = 268,506,496,520.02/240,921.56
  6. Step 6: Final answer
    x = 1,114,497.57

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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.