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Finding the Third Proportional to 169,968 and 262,272

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Solution

The third proportional to 169,968 and 262,272 is: 404,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,968 : 262,272 = 262,272 : x
  2. Step 2: Convert to fraction form
    169,968/262,272 = 262,272/x
  3. Step 3: Cross multiply
    169,968x = 262,272 × 262,272
  4. Step 4: Simplify right side
    169,968x = 68,786,601,984
  5. Step 5: Solve for x
    x = 68,786,601,984/169,968
  6. Step 6: Final answer
    x = 404,703.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.