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Finding the Third Proportional to 84,702 and 178,799

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Solution

The third proportional to 84,702 and 178,799 is: 377,430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,702 : 178,799 = 178,799 : x
  2. Step 2: Convert to fraction form
    84,702/178,799 = 178,799/x
  3. Step 3: Cross multiply
    84,702x = 178,799 × 178,799
  4. Step 4: Simplify right side
    84,702x = 31,969,082,401
  5. Step 5: Solve for x
    x = 31,969,082,401/84,702
  6. Step 6: Final answer
    x = 377,430.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.