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Finding the Third Proportional to 159,512 and 232,344

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Solution

The third proportional to 159,512 and 232,344 is: 338,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,512 : 232,344 = 232,344 : x
  2. Step 2: Convert to fraction form
    159,512/232,344 = 232,344/x
  3. Step 3: Cross multiply
    159,512x = 232,344 × 232,344
  4. Step 4: Simplify right side
    159,512x = 53,983,734,336
  5. Step 5: Solve for x
    x = 53,983,734,336/159,512
  6. Step 6: Final answer
    x = 338,430.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.