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Finding the Third Proportional to 158,859.50 and 233,424.75

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Solution

The third proportional to 158,859.50 and 233,424.75 is: 342,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,859.50 : 233,424.75 = 233,424.75 : x
  2. Step 2: Convert to fraction form
    158,859.50/233,424.75 = 233,424.75/x
  3. Step 3: Cross multiply
    158,859.50x = 233,424.75 × 233,424.75
  4. Step 4: Simplify right side
    158,859.50x = 54,487,113,912.56
  5. Step 5: Solve for x
    x = 54,487,113,912.56/158,859.50
  6. Step 6: Final answer
    x = 342,989.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.