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Finding the Third Proportional to 153,096 and 336,081

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Solution

The third proportional to 153,096 and 336,081 is: 737,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,096 : 336,081 = 336,081 : x
  2. Step 2: Convert to fraction form
    153,096/336,081 = 336,081/x
  3. Step 3: Cross multiply
    153,096x = 336,081 × 336,081
  4. Step 4: Simplify right side
    153,096x = 112,950,438,561
  5. Step 5: Solve for x
    x = 112,950,438,561/153,096
  6. Step 6: Final answer
    x = 737,775.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.