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Finding the Third Proportional to 155,185 and 247,945.50

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Solution

The third proportional to 155,185 and 247,945.50 is: 396,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,185 : 247,945.50 = 247,945.50 : x
  2. Step 2: Convert to fraction form
    155,185/247,945.50 = 247,945.50/x
  3. Step 3: Cross multiply
    155,185x = 247,945.50 × 247,945.50
  4. Step 4: Simplify right side
    155,185x = 61,476,970,970.25
  5. Step 5: Solve for x
    x = 61,476,970,970.25/155,185
  6. Step 6: Final answer
    x = 396,152.79

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.