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Finding the Third Proportional to 168,232.50 and 239,953.50

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Solution

The third proportional to 168,232.50 and 239,953.50 is: 342,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,232.50 : 239,953.50 = 239,953.50 : x
  2. Step 2: Convert to fraction form
    168,232.50/239,953.50 = 239,953.50/x
  3. Step 3: Cross multiply
    168,232.50x = 239,953.50 × 239,953.50
  4. Step 4: Simplify right side
    168,232.50x = 57,577,682,162.25
  5. Step 5: Solve for x
    x = 57,577,682,162.25/168,232.50
  6. Step 6: Final answer
    x = 342,250.65

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.