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Finding the Third Proportional to 200,768.63 and 267,661.13

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Solution

The third proportional to 200,768.63 and 267,661.13 is: 356,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.63 : 267,661.13 = 267,661.13 : x
  2. Step 2: Convert to fraction form
    200,768.63/267,661.13 = 267,661.13/x
  3. Step 3: Cross multiply
    200,768.63x = 267,661.13 × 267,661.13
  4. Step 4: Simplify right side
    200,768.63x = 71,642,477,836.27
  5. Step 5: Solve for x
    x = 71,642,477,836.27/200,768.63
  6. Step 6: Final answer
    x = 356,841.00

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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.