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Finding the Third Proportional to 161,660.81 and 248,140.97

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Solution

The third proportional to 161,660.81 and 248,140.97 is: 380,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,660.81 : 248,140.97 = 248,140.97 : x
  2. Step 2: Convert to fraction form
    161,660.81/248,140.97 = 248,140.97/x
  3. Step 3: Cross multiply
    161,660.81x = 248,140.97 × 248,140.97
  4. Step 4: Simplify right side
    161,660.81x = 61,573,940,372.19
  5. Step 5: Solve for x
    x = 61,573,940,372.19/161,660.81
  6. Step 6: Final answer
    x = 380,883.53

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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.