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Finding the Third Proportional to 258,157.13 and 347,824.13

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Solution

The third proportional to 258,157.13 and 347,824.13 is: 468,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,157.13 : 347,824.13 = 347,824.13 : x
  2. Step 2: Convert to fraction form
    258,157.13/347,824.13 = 347,824.13/x
  3. Step 3: Cross multiply
    258,157.13x = 347,824.13 × 347,824.13
  4. Step 4: Simplify right side
    258,157.13x = 120,981,621,932.02
  5. Step 5: Solve for x
    x = 120,981,621,932.02/258,157.13
  6. Step 6: Final answer
    x = 468,635.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.