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Finding the Third Proportional to 141,878.25 and 236,464.13

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Solution

The third proportional to 141,878.25 and 236,464.13 is: 394,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,878.25 : 236,464.13 = 236,464.13 : x
  2. Step 2: Convert to fraction form
    141,878.25/236,464.13 = 236,464.13/x
  3. Step 3: Cross multiply
    141,878.25x = 236,464.13 × 236,464.13
  4. Step 4: Simplify right side
    141,878.25x = 55,915,282,412.02
  5. Step 5: Solve for x
    x = 55,915,282,412.02/141,878.25
  6. Step 6: Final answer
    x = 394,107.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.