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Finding the Third Proportional to 226,066 and 307,865

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Solution

The third proportional to 226,066 and 307,865 is: 419,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,066 : 307,865 = 307,865 : x
  2. Step 2: Convert to fraction form
    226,066/307,865 = 307,865/x
  3. Step 3: Cross multiply
    226,066x = 307,865 × 307,865
  4. Step 4: Simplify right side
    226,066x = 94,780,858,225
  5. Step 5: Solve for x
    x = 94,780,858,225/226,066
  6. Step 6: Final answer
    x = 419,261.89

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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.