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Finding the Third Proportional to 204,024 and 316,680

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Solution

The third proportional to 204,024 and 316,680 is: 491,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,024 : 316,680 = 316,680 : x
  2. Step 2: Convert to fraction form
    204,024/316,680 = 316,680/x
  3. Step 3: Cross multiply
    204,024x = 316,680 × 316,680
  4. Step 4: Simplify right side
    204,024x = 100,286,222,400
  5. Step 5: Solve for x
    x = 100,286,222,400/204,024
  6. Step 6: Final answer
    x = 491,541.30

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Why These Related Problems?

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