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Finding the Third Proportional to 169,569 and 262,443

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Solution

The third proportional to 169,569 and 262,443 is: 406,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,569 : 262,443 = 262,443 : x
  2. Step 2: Convert to fraction form
    169,569/262,443 = 262,443/x
  3. Step 3: Cross multiply
    169,569x = 262,443 × 262,443
  4. Step 4: Simplify right side
    169,569x = 68,876,328,249
  5. Step 5: Solve for x
    x = 68,876,328,249/169,569
  6. Step 6: Final answer
    x = 406,184.67

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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.