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Finding the Third Proportional to 154,932.75 and 239,233.50

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Solution

The third proportional to 154,932.75 and 239,233.50 is: 369,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,932.75 : 239,233.50 = 239,233.50 : x
  2. Step 2: Convert to fraction form
    154,932.75/239,233.50 = 239,233.50/x
  3. Step 3: Cross multiply
    154,932.75x = 239,233.50 × 239,233.50
  4. Step 4: Simplify right side
    154,932.75x = 57,232,667,522.25
  5. Step 5: Solve for x
    x = 57,232,667,522.25/154,932.75
  6. Step 6: Final answer
    x = 369,403.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.