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Finding the Third Proportional to 141,866 and 307,372

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Solution

The third proportional to 141,866 and 307,372 is: 665,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,866 : 307,372 = 307,372 : x
  2. Step 2: Convert to fraction form
    141,866/307,372 = 307,372/x
  3. Step 3: Cross multiply
    141,866x = 307,372 × 307,372
  4. Step 4: Simplify right side
    141,866x = 94,477,546,384
  5. Step 5: Solve for x
    x = 94,477,546,384/141,866
  6. Step 6: Final answer
    x = 665,963.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.