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Finding the Third Proportional to 200,208.75 and 269,668.13

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Solution

The third proportional to 200,208.75 and 269,668.13 is: 363,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,208.75 : 269,668.13 = 269,668.13 : x
  2. Step 2: Convert to fraction form
    200,208.75/269,668.13 = 269,668.13/x
  3. Step 3: Cross multiply
    200,208.75x = 269,668.13 × 269,668.13
  4. Step 4: Simplify right side
    200,208.75x = 72,720,897,641.02
  5. Step 5: Solve for x
    x = 72,720,897,641.02/200,208.75
  6. Step 6: Final answer
    x = 363,225.37

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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.