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Finding the Third Proportional to 158,982.75 and 238,815

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Solution

The third proportional to 158,982.75 and 238,815 is: 358,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,982.75 : 238,815 = 238,815 : x
  2. Step 2: Convert to fraction form
    158,982.75/238,815 = 238,815/x
  3. Step 3: Cross multiply
    158,982.75x = 238,815 × 238,815
  4. Step 4: Simplify right side
    158,982.75x = 57,032,604,225
  5. Step 5: Solve for x
    x = 57,032,604,225/158,982.75
  6. Step 6: Final answer
    x = 358,734.54

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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.