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Finding the Third Proportional to 169,492 and 248,568

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Solution

The third proportional to 169,492 and 248,568 is: 364,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,492 : 248,568 = 248,568 : x
  2. Step 2: Convert to fraction form
    169,492/248,568 = 248,568/x
  3. Step 3: Cross multiply
    169,492x = 248,568 × 248,568
  4. Step 4: Simplify right side
    169,492x = 61,786,050,624
  5. Step 5: Solve for x
    x = 61,786,050,624/169,492
  6. Step 6: Final answer
    x = 364,536.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.