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Finding the Third Proportional to 204,758 and 310,002

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Solution

The third proportional to 204,758 and 310,002 is: 469,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,758 : 310,002 = 310,002 : x
  2. Step 2: Convert to fraction form
    204,758/310,002 = 310,002/x
  3. Step 3: Cross multiply
    204,758x = 310,002 × 310,002
  4. Step 4: Simplify right side
    204,758x = 96,101,240,004
  5. Step 5: Solve for x
    x = 96,101,240,004/204,758
  6. Step 6: Final answer
    x = 469,340.59

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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.