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Finding the Third Proportional to 159,932 and 239,018

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Solution

The third proportional to 159,932 and 239,018 is: 357,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,932 : 239,018 = 239,018 : x
  2. Step 2: Convert to fraction form
    159,932/239,018 = 239,018/x
  3. Step 3: Cross multiply
    159,932x = 239,018 × 239,018
  4. Step 4: Simplify right side
    159,932x = 57,129,604,324
  5. Step 5: Solve for x
    x = 57,129,604,324/159,932
  6. Step 6: Final answer
    x = 357,211.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.