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Finding the Third Proportional to 148,789.69 and 226,298.25

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Solution

The third proportional to 148,789.69 and 226,298.25 is: 344,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,789.69 : 226,298.25 = 226,298.25 : x
  2. Step 2: Convert to fraction form
    148,789.69/226,298.25 = 226,298.25/x
  3. Step 3: Cross multiply
    148,789.69x = 226,298.25 × 226,298.25
  4. Step 4: Simplify right side
    148,789.69x = 51,210,897,953.06
  5. Step 5: Solve for x
    x = 51,210,897,953.06/148,789.69
  6. Step 6: Final answer
    x = 344,183.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.