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Finding the Third Proportional to 169,580 and 262,164

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Solution

The third proportional to 169,580 and 262,164 is: 405,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,580 : 262,164 = 262,164 : x
  2. Step 2: Convert to fraction form
    169,580/262,164 = 262,164/x
  3. Step 3: Cross multiply
    169,580x = 262,164 × 262,164
  4. Step 4: Simplify right side
    169,580x = 68,729,962,896
  5. Step 5: Solve for x
    x = 68,729,962,896/169,580
  6. Step 6: Final answer
    x = 405,295.22

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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.