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Finding the Third Proportional to 168,846 and 360,291

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Solution

The third proportional to 168,846 and 360,291 is: 768,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,846 : 360,291 = 360,291 : x
  2. Step 2: Convert to fraction form
    168,846/360,291 = 360,291/x
  3. Step 3: Cross multiply
    168,846x = 360,291 × 360,291
  4. Step 4: Simplify right side
    168,846x = 129,809,604,681
  5. Step 5: Solve for x
    x = 129,809,604,681/168,846
  6. Step 6: Final answer
    x = 768,804.74

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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.