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Finding the Third Proportional to 200,782.13 and 267,657.75

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Solution

The third proportional to 200,782.13 and 267,657.75 is: 356,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,782.13 : 267,657.75 = 267,657.75 : x
  2. Step 2: Convert to fraction form
    200,782.13/267,657.75 = 267,657.75/x
  3. Step 3: Cross multiply
    200,782.13x = 267,657.75 × 267,657.75
  4. Step 4: Simplify right side
    200,782.13x = 71,640,671,135.06
  5. Step 5: Solve for x
    x = 71,640,671,135.06/200,782.13
  6. Step 6: Final answer
    x = 356,808.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.