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Finding the Third Proportional to 200,666.81 and 275,165.16

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Solution

The third proportional to 200,666.81 and 275,165.16 is: 377,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,666.81 : 275,165.16 = 275,165.16 : x
  2. Step 2: Convert to fraction form
    200,666.81/275,165.16 = 275,165.16/x
  3. Step 3: Cross multiply
    200,666.81x = 275,165.16 × 275,165.16
  4. Step 4: Simplify right side
    200,666.81x = 75,715,863,214.09
  5. Step 5: Solve for x
    x = 75,715,863,214.09/200,666.81
  6. Step 6: Final answer
    x = 377,321.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.