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Finding the Third Proportional to 155,736 and 241,609.50

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Solution

The third proportional to 155,736 and 241,609.50 is: 374,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,736 : 241,609.50 = 241,609.50 : x
  2. Step 2: Convert to fraction form
    155,736/241,609.50 = 241,609.50/x
  3. Step 3: Cross multiply
    155,736x = 241,609.50 × 241,609.50
  4. Step 4: Simplify right side
    155,736x = 58,375,150,490.25
  5. Step 5: Solve for x
    x = 58,375,150,490.25/155,736
  6. Step 6: Final answer
    x = 374,834.02

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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.