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Finding the Third Proportional to 204,335 and 318,923

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Solution

The third proportional to 204,335 and 318,923 is: 497,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,335 : 318,923 = 318,923 : x
  2. Step 2: Convert to fraction form
    204,335/318,923 = 318,923/x
  3. Step 3: Cross multiply
    204,335x = 318,923 × 318,923
  4. Step 4: Simplify right side
    204,335x = 101,711,879,929
  5. Step 5: Solve for x
    x = 101,711,879,929/204,335
  6. Step 6: Final answer
    x = 497,770.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.