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Finding the Third Proportional to 77,894 and 170,204

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Solution

The third proportional to 77,894 and 170,204 is: 371,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,894 : 170,204 = 170,204 : x
  2. Step 2: Convert to fraction form
    77,894/170,204 = 170,204/x
  3. Step 3: Cross multiply
    77,894x = 170,204 × 170,204
  4. Step 4: Simplify right side
    77,894x = 28,969,401,616
  5. Step 5: Solve for x
    x = 28,969,401,616/77,894
  6. Step 6: Final answer
    x = 371,908.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.