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Finding the Third Proportional to 165,154.50 and 248,103

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Solution

The third proportional to 165,154.50 and 248,103 is: 372,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,154.50 : 248,103 = 248,103 : x
  2. Step 2: Convert to fraction form
    165,154.50/248,103 = 248,103/x
  3. Step 3: Cross multiply
    165,154.50x = 248,103 × 248,103
  4. Step 4: Simplify right side
    165,154.50x = 61,555,098,609
  5. Step 5: Solve for x
    x = 61,555,098,609/165,154.50
  6. Step 6: Final answer
    x = 372,712.21

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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.