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Finding the Third Proportional to 226,134 and 307,113

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Solution

The third proportional to 226,134 and 307,113 is: 417,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,134 : 307,113 = 307,113 : x
  2. Step 2: Convert to fraction form
    226,134/307,113 = 307,113/x
  3. Step 3: Cross multiply
    226,134x = 307,113 × 307,113
  4. Step 4: Simplify right side
    226,134x = 94,318,394,769
  5. Step 5: Solve for x
    x = 94,318,394,769/226,134
  6. Step 6: Final answer
    x = 417,090.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.