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Finding the Third Proportional to 159,938 and 239,026

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Solution

The third proportional to 159,938 and 239,026 is: 357,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,938 : 239,026 = 239,026 : x
  2. Step 2: Convert to fraction form
    159,938/239,026 = 239,026/x
  3. Step 3: Cross multiply
    159,938x = 239,026 × 239,026
  4. Step 4: Simplify right side
    159,938x = 57,133,428,676
  5. Step 5: Solve for x
    x = 57,133,428,676/159,938
  6. Step 6: Final answer
    x = 357,222.35

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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.