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Finding the Third Proportional to 169,264 and 361,856

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Solution

The third proportional to 169,264 and 361,856 is: 773,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,264 : 361,856 = 361,856 : x
  2. Step 2: Convert to fraction form
    169,264/361,856 = 361,856/x
  3. Step 3: Cross multiply
    169,264x = 361,856 × 361,856
  4. Step 4: Simplify right side
    169,264x = 130,939,764,736
  5. Step 5: Solve for x
    x = 130,939,764,736/169,264
  6. Step 6: Final answer
    x = 773,583.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.