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Finding the Third Proportional to 204,102 and 316,800

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Solution

The third proportional to 204,102 and 316,800 is: 491,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,102 : 316,800 = 316,800 : x
  2. Step 2: Convert to fraction form
    204,102/316,800 = 316,800/x
  3. Step 3: Cross multiply
    204,102x = 316,800 × 316,800
  4. Step 4: Simplify right side
    204,102x = 100,362,240,000
  5. Step 5: Solve for x
    x = 100,362,240,000/204,102
  6. Step 6: Final answer
    x = 491,725.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.