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Finding the Third Proportional to 169,236 and 262,396.50

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Solution

The third proportional to 169,236 and 262,396.50 is: 406,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,236 : 262,396.50 = 262,396.50 : x
  2. Step 2: Convert to fraction form
    169,236/262,396.50 = 262,396.50/x
  3. Step 3: Cross multiply
    169,236x = 262,396.50 × 262,396.50
  4. Step 4: Simplify right side
    169,236x = 68,851,923,212.25
  5. Step 5: Solve for x
    x = 68,851,923,212.25/169,236
  6. Step 6: Final answer
    x = 406,839.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.