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Finding the Third Proportional to 226,100 and 307,074

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Solution

The third proportional to 226,100 and 307,074 is: 417,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,100 : 307,074 = 307,074 : x
  2. Step 2: Convert to fraction form
    226,100/307,074 = 307,074/x
  3. Step 3: Cross multiply
    226,100x = 307,074 × 307,074
  4. Step 4: Simplify right side
    226,100x = 94,294,441,476
  5. Step 5: Solve for x
    x = 94,294,441,476/226,100
  6. Step 6: Final answer
    x = 417,047.51

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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.