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Finding the Third Proportional to 148,288 and 229,805.25

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Solution

The third proportional to 148,288 and 229,805.25 is: 356,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,288 : 229,805.25 = 229,805.25 : x
  2. Step 2: Convert to fraction form
    148,288/229,805.25 = 229,805.25/x
  3. Step 3: Cross multiply
    148,288x = 229,805.25 × 229,805.25
  4. Step 4: Simplify right side
    148,288x = 52,810,452,927.56
  5. Step 5: Solve for x
    x = 52,810,452,927.56/148,288
  6. Step 6: Final answer
    x = 356,134.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.