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Finding the Third Proportional to 204,781 and 310,034

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Solution

The third proportional to 204,781 and 310,034 is: 469,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,781 : 310,034 = 310,034 : x
  2. Step 2: Convert to fraction form
    204,781/310,034 = 310,034/x
  3. Step 3: Cross multiply
    204,781x = 310,034 × 310,034
  4. Step 4: Simplify right side
    204,781x = 96,121,081,156
  5. Step 5: Solve for x
    x = 96,121,081,156/204,781
  6. Step 6: Final answer
    x = 469,384.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.