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Finding the Third Proportional to 159,398 and 238,790

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Solution

The third proportional to 159,398 and 238,790 is: 357,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,398 : 238,790 = 238,790 : x
  2. Step 2: Convert to fraction form
    159,398/238,790 = 238,790/x
  3. Step 3: Cross multiply
    159,398x = 238,790 × 238,790
  4. Step 4: Simplify right side
    159,398x = 57,020,664,100
  5. Step 5: Solve for x
    x = 57,020,664,100/159,398
  6. Step 6: Final answer
    x = 357,725.09

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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.