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Finding the Third Proportional to 159,846.75 and 238,673.25

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Solution

The third proportional to 159,846.75 and 238,673.25 is: 356,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,846.75 : 238,673.25 = 238,673.25 : x
  2. Step 2: Convert to fraction form
    159,846.75/238,673.25 = 238,673.25/x
  3. Step 3: Cross multiply
    159,846.75x = 238,673.25 × 238,673.25
  4. Step 4: Simplify right side
    159,846.75x = 56,964,920,265.56
  5. Step 5: Solve for x
    x = 56,964,920,265.56/159,846.75
  6. Step 6: Final answer
    x = 356,372.09

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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.