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Finding the Third Proportional to 169,281 and 361,884

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Solution

The third proportional to 169,281 and 361,884 is: 773,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,281 : 361,884 = 361,884 : x
  2. Step 2: Convert to fraction form
    169,281/361,884 = 361,884/x
  3. Step 3: Cross multiply
    169,281x = 361,884 × 361,884
  4. Step 4: Simplify right side
    169,281x = 130,960,029,456
  5. Step 5: Solve for x
    x = 130,960,029,456/169,281
  6. Step 6: Final answer
    x = 773,625.09

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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.