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Finding the Third Proportional to 148,286.63 and 229,803.38

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Solution

The third proportional to 148,286.63 and 229,803.38 is: 356,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,286.63 : 229,803.38 = 229,803.38 : x
  2. Step 2: Convert to fraction form
    148,286.63/229,803.38 = 229,803.38/x
  3. Step 3: Cross multiply
    148,286.63x = 229,803.38 × 229,803.38
  4. Step 4: Simplify right side
    148,286.63x = 52,809,591,161.39
  5. Step 5: Solve for x
    x = 52,809,591,161.39/148,286.63
  6. Step 6: Final answer
    x = 356,131.86

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Why These Related Problems?

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