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Finding the Third Proportional to 200,809.50 and 267,715.88

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Solution

The third proportional to 200,809.50 and 267,715.88 is: 356,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809.50 : 267,715.88 = 267,715.88 : x
  2. Step 2: Convert to fraction form
    200,809.50/267,715.88 = 267,715.88/x
  3. Step 3: Cross multiply
    200,809.50x = 267,715.88 × 267,715.88
  4. Step 4: Simplify right side
    200,809.50x = 71,671,789,727.02
  5. Step 5: Solve for x
    x = 71,671,789,727.02/200,809.50
  6. Step 6: Final answer
    x = 356,914.34

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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.