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Finding the Third Proportional to 200,068 and 426,920

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Solution

The third proportional to 200,068 and 426,920 is: 910,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,068 : 426,920 = 426,920 : x
  2. Step 2: Convert to fraction form
    200,068/426,920 = 426,920/x
  3. Step 3: Cross multiply
    200,068x = 426,920 × 426,920
  4. Step 4: Simplify right side
    200,068x = 182,260,686,400
  5. Step 5: Solve for x
    x = 182,260,686,400/200,068
  6. Step 6: Final answer
    x = 910,993.69

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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.