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Finding the Third Proportional to 218,895.75 and 464,150.25

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Solution

The third proportional to 218,895.75 and 464,150.25 is: 984,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,895.75 : 464,150.25 = 464,150.25 : x
  2. Step 2: Convert to fraction form
    218,895.75/464,150.25 = 464,150.25/x
  3. Step 3: Cross multiply
    218,895.75x = 464,150.25 × 464,150.25
  4. Step 4: Simplify right side
    218,895.75x = 215,435,454,575.06
  5. Step 5: Solve for x
    x = 215,435,454,575.06/218,895.75
  6. Step 6: Final answer
    x = 984,192.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.