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Finding the Third Proportional to 169,404 and 361,332

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Solution

The third proportional to 169,404 and 361,332 is: 770,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,404 : 361,332 = 361,332 : x
  2. Step 2: Convert to fraction form
    169,404/361,332 = 361,332/x
  3. Step 3: Cross multiply
    169,404x = 361,332 × 361,332
  4. Step 4: Simplify right side
    169,404x = 130,560,814,224
  5. Step 5: Solve for x
    x = 130,560,814,224/169,404
  6. Step 6: Final answer
    x = 770,706.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.