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Finding the Third Proportional to 103,574 and 226,910

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Solution

The third proportional to 103,574 and 226,910 is: 497,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,574 : 226,910 = 226,910 : x
  2. Step 2: Convert to fraction form
    103,574/226,910 = 226,910/x
  3. Step 3: Cross multiply
    103,574x = 226,910 × 226,910
  4. Step 4: Simplify right side
    103,574x = 51,488,148,100
  5. Step 5: Solve for x
    x = 51,488,148,100/103,574
  6. Step 6: Final answer
    x = 497,114.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.