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Finding the Third Proportional to 103,712 and 226,195

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Solution

The third proportional to 103,712 and 226,195 is: 493,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,712 : 226,195 = 226,195 : x
  2. Step 2: Convert to fraction form
    103,712/226,195 = 226,195/x
  3. Step 3: Cross multiply
    103,712x = 226,195 × 226,195
  4. Step 4: Simplify right side
    103,712x = 51,164,178,025
  5. Step 5: Solve for x
    x = 51,164,178,025/103,712
  6. Step 6: Final answer
    x = 493,329.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.