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Finding the Third Proportional to 169,567 and 365,378

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Solution

The third proportional to 169,567 and 365,378 is: 787,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,567 : 365,378 = 365,378 : x
  2. Step 2: Convert to fraction form
    169,567/365,378 = 365,378/x
  3. Step 3: Cross multiply
    169,567x = 365,378 × 365,378
  4. Step 4: Simplify right side
    169,567x = 133,501,082,884
  5. Step 5: Solve for x
    x = 133,501,082,884/169,567
  6. Step 6: Final answer
    x = 787,305.80

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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.