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Finding the Third Proportional to 148,476.80 and 229,840.03

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Solution

The third proportional to 148,476.80 and 229,840.03 is: 355,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,476.80 : 229,840.03 = 229,840.03 : x
  2. Step 2: Convert to fraction form
    148,476.80/229,840.03 = 229,840.03/x
  3. Step 3: Cross multiply
    148,476.80x = 229,840.03 × 229,840.03
  4. Step 4: Simplify right side
    148,476.80x = 52,826,439,965.00
  5. Step 5: Solve for x
    x = 52,826,439,965.00/148,476.80
  6. Step 6: Final answer
    x = 355,789.19

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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.