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Finding the Third Proportional to 169,789.50 and 365,661

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Solution

The third proportional to 169,789.50 and 365,661 is: 787,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,789.50 : 365,661 = 365,661 : x
  2. Step 2: Convert to fraction form
    169,789.50/365,661 = 365,661/x
  3. Step 3: Cross multiply
    169,789.50x = 365,661 × 365,661
  4. Step 4: Simplify right side
    169,789.50x = 133,707,966,921
  5. Step 5: Solve for x
    x = 133,707,966,921/169,789.50
  6. Step 6: Final answer
    x = 787,492.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.