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Finding the Third Proportional to 159,658 and 239,510

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Solution

The third proportional to 159,658 and 239,510 is: 359,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,658 : 239,510 = 239,510 : x
  2. Step 2: Convert to fraction form
    159,658/239,510 = 239,510/x
  3. Step 3: Cross multiply
    159,658x = 239,510 × 239,510
  4. Step 4: Simplify right side
    159,658x = 57,365,040,100
  5. Step 5: Solve for x
    x = 57,365,040,100/159,658
  6. Step 6: Final answer
    x = 359,299.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.