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Finding the Third Proportional to 226,150 and 307,130

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Solution

The third proportional to 226,150 and 307,130 is: 417,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,150 : 307,130 = 307,130 : x
  2. Step 2: Convert to fraction form
    226,150/307,130 = 307,130/x
  3. Step 3: Cross multiply
    226,150x = 307,130 × 307,130
  4. Step 4: Simplify right side
    226,150x = 94,328,836,900
  5. Step 5: Solve for x
    x = 94,328,836,900/226,150
  6. Step 6: Final answer
    x = 417,107.39

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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.