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Finding the Third Proportional to 204,066 and 306,882

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Solution

The third proportional to 204,066 and 306,882 is: 461,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,066 : 306,882 = 306,882 : x
  2. Step 2: Convert to fraction form
    204,066/306,882 = 306,882/x
  3. Step 3: Cross multiply
    204,066x = 306,882 × 306,882
  4. Step 4: Simplify right side
    204,066x = 94,176,561,924
  5. Step 5: Solve for x
    x = 94,176,561,924/204,066
  6. Step 6: Final answer
    x = 461,500.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.