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Finding the Third Proportional to 241,451.35 and 384,340.57

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Solution

The third proportional to 241,451.35 and 384,340.57 is: 611,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,451.35 : 384,340.57 = 384,340.57 : x
  2. Step 2: Convert to fraction form
    241,451.35/384,340.57 = 384,340.57/x
  3. Step 3: Cross multiply
    241,451.35x = 384,340.57 × 384,340.57
  4. Step 4: Simplify right side
    241,451.35x = 147,717,673,988.14
  5. Step 5: Solve for x
    x = 147,717,673,988.14/241,451.35
  6. Step 6: Final answer
    x = 611,790.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.