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Finding the Third Proportional to 169,549 and 262,117

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Solution

The third proportional to 169,549 and 262,117 is: 405,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,549 : 262,117 = 262,117 : x
  2. Step 2: Convert to fraction form
    169,549/262,117 = 262,117/x
  3. Step 3: Cross multiply
    169,549x = 262,117 × 262,117
  4. Step 4: Simplify right side
    169,549x = 68,705,321,689
  5. Step 5: Solve for x
    x = 68,705,321,689/169,549
  6. Step 6: Final answer
    x = 405,223.99

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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.