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Finding the Third Proportional to 141,926 and 236,533

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Solution

The third proportional to 141,926 and 236,533 is: 394,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,926 : 236,533 = 236,533 : x
  2. Step 2: Convert to fraction form
    141,926/236,533 = 236,533/x
  3. Step 3: Cross multiply
    141,926x = 236,533 × 236,533
  4. Step 4: Simplify right side
    141,926x = 55,947,860,089
  5. Step 5: Solve for x
    x = 55,947,860,089/141,926
  6. Step 6: Final answer
    x = 394,204.45

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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.