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Finding the Third Proportional to 205,656 and 325,908

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Solution

The third proportional to 205,656 and 325,908 is: 516,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,656 : 325,908 = 325,908 : x
  2. Step 2: Convert to fraction form
    205,656/325,908 = 325,908/x
  3. Step 3: Cross multiply
    205,656x = 325,908 × 325,908
  4. Step 4: Simplify right side
    205,656x = 106,216,024,464
  5. Step 5: Solve for x
    x = 106,216,024,464/205,656
  6. Step 6: Final answer
    x = 516,474.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.