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Finding the Third Proportional to 217,218 and 318,051

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Solution

The third proportional to 217,218 and 318,051 is: 465,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,218 : 318,051 = 318,051 : x
  2. Step 2: Convert to fraction form
    217,218/318,051 = 318,051/x
  3. Step 3: Cross multiply
    217,218x = 318,051 × 318,051
  4. Step 4: Simplify right side
    217,218x = 101,156,438,601
  5. Step 5: Solve for x
    x = 101,156,438,601/217,218
  6. Step 6: Final answer
    x = 465,690.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.