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Finding the Third Proportional to 77,845.50 and 169,299

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Solution

The third proportional to 77,845.50 and 169,299 is: 368,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,845.50 : 169,299 = 169,299 : x
  2. Step 2: Convert to fraction form
    77,845.50/169,299 = 169,299/x
  3. Step 3: Cross multiply
    77,845.50x = 169,299 × 169,299
  4. Step 4: Simplify right side
    77,845.50x = 28,662,151,401
  5. Step 5: Solve for x
    x = 28,662,151,401/77,845.50
  6. Step 6: Final answer
    x = 368,192.78

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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.