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Finding the Third Proportional to 141,914 and 236,514

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Solution

The third proportional to 141,914 and 236,514 is: 394,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,914 : 236,514 = 236,514 : x
  2. Step 2: Convert to fraction form
    141,914/236,514 = 236,514/x
  3. Step 3: Cross multiply
    141,914x = 236,514 × 236,514
  4. Step 4: Simplify right side
    141,914x = 55,938,872,196
  5. Step 5: Solve for x
    x = 55,938,872,196/141,914
  6. Step 6: Final answer
    x = 394,174.45

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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.