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Finding the Third Proportional to 168,524 and 360,052

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Solution

The third proportional to 168,524 and 360,052 is: 769,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,524 : 360,052 = 360,052 : x
  2. Step 2: Convert to fraction form
    168,524/360,052 = 360,052/x
  3. Step 3: Cross multiply
    168,524x = 360,052 × 360,052
  4. Step 4: Simplify right side
    168,524x = 129,637,442,704
  5. Step 5: Solve for x
    x = 129,637,442,704/168,524
  6. Step 6: Final answer
    x = 769,252.11

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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.