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Finding the Third Proportional to 141,021 and 307,766

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Solution

The third proportional to 141,021 and 307,766 is: 671,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,021 : 307,766 = 307,766 : x
  2. Step 2: Convert to fraction form
    141,021/307,766 = 307,766/x
  3. Step 3: Cross multiply
    141,021x = 307,766 × 307,766
  4. Step 4: Simplify right side
    141,021x = 94,719,910,756
  5. Step 5: Solve for x
    x = 94,719,910,756/141,021
  6. Step 6: Final answer
    x = 671,672.38

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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.