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Finding the Third Proportional to 141,408 and 307,824

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Solution

The third proportional to 141,408 and 307,824 is: 670,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,408 : 307,824 = 307,824 : x
  2. Step 2: Convert to fraction form
    141,408/307,824 = 307,824/x
  3. Step 3: Cross multiply
    141,408x = 307,824 × 307,824
  4. Step 4: Simplify right side
    141,408x = 94,755,614,976
  5. Step 5: Solve for x
    x = 94,755,614,976/141,408
  6. Step 6: Final answer
    x = 670,086.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.