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Finding the Third Proportional to 269,218.50 and 416,808.50

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Solution

The third proportional to 269,218.50 and 416,808.50 is: 645,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218.50 : 416,808.50 = 416,808.50 : x
  2. Step 2: Convert to fraction form
    269,218.50/416,808.50 = 416,808.50/x
  3. Step 3: Cross multiply
    269,218.50x = 416,808.50 × 416,808.50
  4. Step 4: Simplify right side
    269,218.50x = 173,729,325,672.25
  5. Step 5: Solve for x
    x = 173,729,325,672.25/269,218.50
  6. Step 6: Final answer
    x = 645,309.76

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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.