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Finding the Third Proportional to 268,076.25 and 416,815.88

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Solution

The third proportional to 268,076.25 and 416,815.88 is: 648,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,076.25 : 416,815.88 = 416,815.88 : x
  2. Step 2: Convert to fraction form
    268,076.25/416,815.88 = 416,815.88/x
  3. Step 3: Cross multiply
    268,076.25x = 416,815.88 × 416,815.88
  4. Step 4: Simplify right side
    268,076.25x = 173,735,473,652.02
  5. Step 5: Solve for x
    x = 173,735,473,652.02/268,076.25
  6. Step 6: Final answer
    x = 648,082.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.