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Finding the Third Proportional to 148,108.50 and 229,751.44

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Solution

The third proportional to 148,108.50 and 229,751.44 is: 356,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,108.50 : 229,751.44 = 229,751.44 : x
  2. Step 2: Convert to fraction form
    148,108.50/229,751.44 = 229,751.44/x
  3. Step 3: Cross multiply
    148,108.50x = 229,751.44 × 229,751.44
  4. Step 4: Simplify right side
    148,108.50x = 52,785,723,033.32
  5. Step 5: Solve for x
    x = 52,785,723,033.32/148,108.50
  6. Step 6: Final answer
    x = 356,399.01

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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.