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Finding the Third Proportional to 106,670 and 226,460

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Solution

The third proportional to 106,670 and 226,460 is: 480,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,670 : 226,460 = 226,460 : x
  2. Step 2: Convert to fraction form
    106,670/226,460 = 226,460/x
  3. Step 3: Cross multiply
    106,670x = 226,460 × 226,460
  4. Step 4: Simplify right side
    106,670x = 51,284,131,600
  5. Step 5: Solve for x
    x = 51,284,131,600/106,670
  6. Step 6: Final answer
    x = 480,773.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.