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Finding the Third Proportional to 204,087 and 306,909

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Solution

The third proportional to 204,087 and 306,909 is: 461,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,087 : 306,909 = 306,909 : x
  2. Step 2: Convert to fraction form
    204,087/306,909 = 306,909/x
  3. Step 3: Cross multiply
    204,087x = 306,909 × 306,909
  4. Step 4: Simplify right side
    204,087x = 94,193,134,281
  5. Step 5: Solve for x
    x = 94,193,134,281/204,087
  6. Step 6: Final answer
    x = 461,534.22

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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.