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Finding the Third Proportional to 141,816 and 302,404

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Solution

The third proportional to 141,816 and 302,404 is: 644,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,816 : 302,404 = 302,404 : x
  2. Step 2: Convert to fraction form
    141,816/302,404 = 302,404/x
  3. Step 3: Cross multiply
    141,816x = 302,404 × 302,404
  4. Step 4: Simplify right side
    141,816x = 91,448,179,216
  5. Step 5: Solve for x
    x = 91,448,179,216/141,816
  6. Step 6: Final answer
    x = 644,836.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.