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Finding the Third Proportional to 169,553 and 262,123

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Solution

The third proportional to 169,553 and 262,123 is: 405,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,553 : 262,123 = 262,123 : x
  2. Step 2: Convert to fraction form
    169,553/262,123 = 262,123/x
  3. Step 3: Cross multiply
    169,553x = 262,123 × 262,123
  4. Step 4: Simplify right side
    169,553x = 68,708,467,129
  5. Step 5: Solve for x
    x = 68,708,467,129/169,553
  6. Step 6: Final answer
    x = 405,232.98

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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.