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Finding the Third Proportional to 200,207.50 and 269,666

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Solution

The third proportional to 200,207.50 and 269,666 is: 363,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,207.50 : 269,666 = 269,666 : x
  2. Step 2: Convert to fraction form
    200,207.50/269,666 = 269,666/x
  3. Step 3: Cross multiply
    200,207.50x = 269,666 × 269,666
  4. Step 4: Simplify right side
    200,207.50x = 72,719,751,556
  5. Step 5: Solve for x
    x = 72,719,751,556/200,207.50
  6. Step 6: Final answer
    x = 363,221.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.