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Finding the Third Proportional to 106,482 and 227,738

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Solution

The third proportional to 106,482 and 227,738 is: 487,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,482 : 227,738 = 227,738 : x
  2. Step 2: Convert to fraction form
    106,482/227,738 = 227,738/x
  3. Step 3: Cross multiply
    106,482x = 227,738 × 227,738
  4. Step 4: Simplify right side
    106,482x = 51,864,596,644
  5. Step 5: Solve for x
    x = 51,864,596,644/106,482
  6. Step 6: Final answer
    x = 487,073.84

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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.