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Finding the Third Proportional to 169,582 and 262,167

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Solution

The third proportional to 169,582 and 262,167 is: 405,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,582 : 262,167 = 262,167 : x
  2. Step 2: Convert to fraction form
    169,582/262,167 = 262,167/x
  3. Step 3: Cross multiply
    169,582x = 262,167 × 262,167
  4. Step 4: Simplify right side
    169,582x = 68,731,535,889
  5. Step 5: Solve for x
    x = 68,731,535,889/169,582
  6. Step 6: Final answer
    x = 405,299.71

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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.