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Finding the Third Proportional to 152,826.75 and 332,525.25

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Solution

The third proportional to 152,826.75 and 332,525.25 is: 723,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,826.75 : 332,525.25 = 332,525.25 : x
  2. Step 2: Convert to fraction form
    152,826.75/332,525.25 = 332,525.25/x
  3. Step 3: Cross multiply
    152,826.75x = 332,525.25 × 332,525.25
  4. Step 4: Simplify right side
    152,826.75x = 110,573,041,887.56
  5. Step 5: Solve for x
    x = 110,573,041,887.56/152,826.75
  6. Step 6: Final answer
    x = 723,518.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.