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Finding the Third Proportional to 204,102 and 306,933

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Solution

The third proportional to 204,102 and 306,933 is: 461,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,102 : 306,933 = 306,933 : x
  2. Step 2: Convert to fraction form
    204,102/306,933 = 306,933/x
  3. Step 3: Cross multiply
    204,102x = 306,933 × 306,933
  4. Step 4: Simplify right side
    204,102x = 94,207,866,489
  5. Step 5: Solve for x
    x = 94,207,866,489/204,102
  6. Step 6: Final answer
    x = 461,572.48

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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.