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Finding the Third Proportional to 141,033.75 and 293,732.25

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Solution

The third proportional to 141,033.75 and 293,732.25 is: 611,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,033.75 : 293,732.25 = 293,732.25 : x
  2. Step 2: Convert to fraction form
    141,033.75/293,732.25 = 293,732.25/x
  3. Step 3: Cross multiply
    141,033.75x = 293,732.25 × 293,732.25
  4. Step 4: Simplify right side
    141,033.75x = 86,278,634,690.06
  5. Step 5: Solve for x
    x = 86,278,634,690.06/141,033.75
  6. Step 6: Final answer
    x = 611,758.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.