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Finding the Third Proportional to 160,138 and 239,311

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Solution

The third proportional to 160,138 and 239,311 is: 357,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,138 : 239,311 = 239,311 : x
  2. Step 2: Convert to fraction form
    160,138/239,311 = 239,311/x
  3. Step 3: Cross multiply
    160,138x = 239,311 × 239,311
  4. Step 4: Simplify right side
    160,138x = 57,269,754,721
  5. Step 5: Solve for x
    x = 57,269,754,721/160,138
  6. Step 6: Final answer
    x = 357,627.51

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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.