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Finding the Third Proportional to 217,536 and 319,116

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Solution

The third proportional to 217,536 and 319,116 is: 468,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,536 : 319,116 = 319,116 : x
  2. Step 2: Convert to fraction form
    217,536/319,116 = 319,116/x
  3. Step 3: Cross multiply
    217,536x = 319,116 × 319,116
  4. Step 4: Simplify right side
    217,536x = 101,835,021,456
  5. Step 5: Solve for x
    x = 101,835,021,456/217,536
  6. Step 6: Final answer
    x = 468,129.51

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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.