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Finding the Third Proportional to 105,174 and 226,386

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Solution

The third proportional to 105,174 and 226,386 is: 487,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,174 : 226,386 = 226,386 : x
  2. Step 2: Convert to fraction form
    105,174/226,386 = 226,386/x
  3. Step 3: Cross multiply
    105,174x = 226,386 × 226,386
  4. Step 4: Simplify right side
    105,174x = 51,250,620,996
  5. Step 5: Solve for x
    x = 51,250,620,996/105,174
  6. Step 6: Final answer
    x = 487,293.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.