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Finding the Third Proportional to 149,659.50 and 232,360

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Solution

The third proportional to 149,659.50 and 232,360 is: 360,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,659.50 : 232,360 = 232,360 : x
  2. Step 2: Convert to fraction form
    149,659.50/232,360 = 232,360/x
  3. Step 3: Cross multiply
    149,659.50x = 232,360 × 232,360
  4. Step 4: Simplify right side
    149,659.50x = 53,991,169,600
  5. Step 5: Solve for x
    x = 53,991,169,600/149,659.50
  6. Step 6: Final answer
    x = 360,760.06

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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.