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Finding the Third Proportional to 217,680 and 319,068

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Solution

The third proportional to 217,680 and 319,068 is: 467,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,680 : 319,068 = 319,068 : x
  2. Step 2: Convert to fraction form
    217,680/319,068 = 319,068/x
  3. Step 3: Cross multiply
    217,680x = 319,068 × 319,068
  4. Step 4: Simplify right side
    217,680x = 101,804,388,624
  5. Step 5: Solve for x
    x = 101,804,388,624/217,680
  6. Step 6: Final answer
    x = 467,679.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.