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Finding the Third Proportional to 106,627 and 226,373

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Solution

The third proportional to 106,627 and 226,373 is: 480,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,627 : 226,373 = 226,373 : x
  2. Step 2: Convert to fraction form
    106,627/226,373 = 226,373/x
  3. Step 3: Cross multiply
    106,627x = 226,373 × 226,373
  4. Step 4: Simplify right side
    106,627x = 51,244,735,129
  5. Step 5: Solve for x
    x = 51,244,735,129/106,627
  6. Step 6: Final answer
    x = 480,598.11

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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.