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Finding the Third Proportional to 143,735 and 302,366

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Solution

The third proportional to 143,735 and 302,366 is: 636,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,735 : 302,366 = 302,366 : x
  2. Step 2: Convert to fraction form
    143,735/302,366 = 302,366/x
  3. Step 3: Cross multiply
    143,735x = 302,366 × 302,366
  4. Step 4: Simplify right side
    143,735x = 91,425,197,956
  5. Step 5: Solve for x
    x = 91,425,197,956/143,735
  6. Step 6: Final answer
    x = 636,067.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.