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Finding the Third Proportional to 158,326 and 236,698

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Solution

The third proportional to 158,326 and 236,698 is: 353,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,326 : 236,698 = 236,698 : x
  2. Step 2: Convert to fraction form
    158,326/236,698 = 236,698/x
  3. Step 3: Cross multiply
    158,326x = 236,698 × 236,698
  4. Step 4: Simplify right side
    158,326x = 56,025,943,204
  5. Step 5: Solve for x
    x = 56,025,943,204/158,326
  6. Step 6: Final answer
    x = 353,864.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.