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Finding the Third Proportional to 103,572 and 226,906

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Solution

The third proportional to 103,572 and 226,906 is: 497,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,572 : 226,906 = 226,906 : x
  2. Step 2: Convert to fraction form
    103,572/226,906 = 226,906/x
  3. Step 3: Cross multiply
    103,572x = 226,906 × 226,906
  4. Step 4: Simplify right side
    103,572x = 51,486,332,836
  5. Step 5: Solve for x
    x = 51,486,332,836/103,572
  6. Step 6: Final answer
    x = 497,106.68

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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.