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Finding the Third Proportional to 168,352 and 369,914

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Solution

The third proportional to 168,352 and 369,914 is: 812,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,352 : 369,914 = 369,914 : x
  2. Step 2: Convert to fraction form
    168,352/369,914 = 369,914/x
  3. Step 3: Cross multiply
    168,352x = 369,914 × 369,914
  4. Step 4: Simplify right side
    168,352x = 136,836,367,396
  5. Step 5: Solve for x
    x = 136,836,367,396/168,352
  6. Step 6: Final answer
    x = 812,799.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.