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Finding the Third Proportional to 98,248 and 150,190

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Solution

The third proportional to 98,248 and 150,190 is: 229,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,248 : 150,190 = 150,190 : x
  2. Step 2: Convert to fraction form
    98,248/150,190 = 150,190/x
  3. Step 3: Cross multiply
    98,248x = 150,190 × 150,190
  4. Step 4: Simplify right side
    98,248x = 22,557,036,100
  5. Step 5: Solve for x
    x = 22,557,036,100/98,248
  6. Step 6: Final answer
    x = 229,592.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.