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Finding the Third Proportional to 148,287 and 229,803

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Solution

The third proportional to 148,287 and 229,803 is: 356,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,287 : 229,803 = 229,803 : x
  2. Step 2: Convert to fraction form
    148,287/229,803 = 229,803/x
  3. Step 3: Cross multiply
    148,287x = 229,803 × 229,803
  4. Step 4: Simplify right side
    148,287x = 52,809,418,809
  5. Step 5: Solve for x
    x = 52,809,418,809/148,287
  6. Step 6: Final answer
    x = 356,129.79

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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.