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Finding the Third Proportional to 169,504 and 361,520

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Solution

The third proportional to 169,504 and 361,520 is: 771,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,504 : 361,520 = 361,520 : x
  2. Step 2: Convert to fraction form
    169,504/361,520 = 361,520/x
  3. Step 3: Cross multiply
    169,504x = 361,520 × 361,520
  4. Step 4: Simplify right side
    169,504x = 130,696,710,400
  5. Step 5: Solve for x
    x = 130,696,710,400/169,504
  6. Step 6: Final answer
    x = 771,053.84

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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.