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Finding the Third Proportional to 153,249.75 and 334,086.75

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Solution

The third proportional to 153,249.75 and 334,086.75 is: 728,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,249.75 : 334,086.75 = 334,086.75 : x
  2. Step 2: Convert to fraction form
    153,249.75/334,086.75 = 334,086.75/x
  3. Step 3: Cross multiply
    153,249.75x = 334,086.75 × 334,086.75
  4. Step 4: Simplify right side
    153,249.75x = 111,613,956,525.56
  5. Step 5: Solve for x
    x = 111,613,956,525.56/153,249.75
  6. Step 6: Final answer
    x = 728,314.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.