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Finding the Third Proportional to 169,468 and 365,197

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Solution

The third proportional to 169,468 and 365,197 is: 786,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,468 : 365,197 = 365,197 : x
  2. Step 2: Convert to fraction form
    169,468/365,197 = 365,197/x
  3. Step 3: Cross multiply
    169,468x = 365,197 × 365,197
  4. Step 4: Simplify right side
    169,468x = 133,368,848,809
  5. Step 5: Solve for x
    x = 133,368,848,809/169,468
  6. Step 6: Final answer
    x = 786,985.44

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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.