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Finding the Third Proportional to 101,310 and 217,308

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Solution

The third proportional to 101,310 and 217,308 is: 466,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,310 : 217,308 = 217,308 : x
  2. Step 2: Convert to fraction form
    101,310/217,308 = 217,308/x
  3. Step 3: Cross multiply
    101,310x = 217,308 × 217,308
  4. Step 4: Simplify right side
    101,310x = 47,222,766,864
  5. Step 5: Solve for x
    x = 47,222,766,864/101,310
  6. Step 6: Final answer
    x = 466,121.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.