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Finding the Third Proportional to 147,845 and 226,202

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Solution

The third proportional to 147,845 and 226,202 is: 346,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,845 : 226,202 = 226,202 : x
  2. Step 2: Convert to fraction form
    147,845/226,202 = 226,202/x
  3. Step 3: Cross multiply
    147,845x = 226,202 × 226,202
  4. Step 4: Simplify right side
    147,845x = 51,167,344,804
  5. Step 5: Solve for x
    x = 51,167,344,804/147,845
  6. Step 6: Final answer
    x = 346,087.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.