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Finding the Third Proportional to 152,446.50 and 229,793.25

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Solution

The third proportional to 152,446.50 and 229,793.25 is: 346,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,446.50 : 229,793.25 = 229,793.25 : x
  2. Step 2: Convert to fraction form
    152,446.50/229,793.25 = 229,793.25/x
  3. Step 3: Cross multiply
    152,446.50x = 229,793.25 × 229,793.25
  4. Step 4: Simplify right side
    152,446.50x = 52,804,937,745.56
  5. Step 5: Solve for x
    x = 52,804,937,745.56/152,446.50
  6. Step 6: Final answer
    x = 346,383.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.