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Finding the Third Proportional to 146,729.81 and 196,538.91

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Solution

The third proportional to 146,729.81 and 196,538.91 is: 263,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,729.81 : 196,538.91 = 196,538.91 : x
  2. Step 2: Convert to fraction form
    146,729.81/196,538.91 = 196,538.91/x
  3. Step 3: Cross multiply
    146,729.81x = 196,538.91 × 196,538.91
  4. Step 4: Simplify right side
    146,729.81x = 38,627,541,669.95
  5. Step 5: Solve for x
    x = 38,627,541,669.95/146,729.81
  6. Step 6: Final answer
    x = 263,256.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.