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Finding the Third Proportional to 260,215.50 and 402,141

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Solution

The third proportional to 260,215.50 and 402,141 is: 621,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,215.50 : 402,141 = 402,141 : x
  2. Step 2: Convert to fraction form
    260,215.50/402,141 = 402,141/x
  3. Step 3: Cross multiply
    260,215.50x = 402,141 × 402,141
  4. Step 4: Simplify right side
    260,215.50x = 161,717,383,881
  5. Step 5: Solve for x
    x = 161,717,383,881/260,215.50
  6. Step 6: Final answer
    x = 621,474.83

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