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Finding the Third Proportional to 267,846.75 and 418,081.50

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Solution

The third proportional to 267,846.75 and 418,081.50 is: 652,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,846.75 : 418,081.50 = 418,081.50 : x
  2. Step 2: Convert to fraction form
    267,846.75/418,081.50 = 418,081.50/x
  3. Step 3: Cross multiply
    267,846.75x = 418,081.50 × 418,081.50
  4. Step 4: Simplify right side
    267,846.75x = 174,792,140,642.25
  5. Step 5: Solve for x
    x = 174,792,140,642.25/267,846.75
  6. Step 6: Final answer
    x = 652,582.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.