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Finding the Third Proportional to 169,517 and 262,646

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Solution

The third proportional to 169,517 and 262,646 is: 406,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,517 : 262,646 = 262,646 : x
  2. Step 2: Convert to fraction form
    169,517/262,646 = 262,646/x
  3. Step 3: Cross multiply
    169,517x = 262,646 × 262,646
  4. Step 4: Simplify right side
    169,517x = 68,982,921,316
  5. Step 5: Solve for x
    x = 68,982,921,316/169,517
  6. Step 6: Final answer
    x = 406,938.07

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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.