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Finding the Third Proportional to 208,091 and 442,102

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Solution

The third proportional to 208,091 and 442,102 is: 939,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,091 : 442,102 = 442,102 : x
  2. Step 2: Convert to fraction form
    208,091/442,102 = 442,102/x
  3. Step 3: Cross multiply
    208,091x = 442,102 × 442,102
  4. Step 4: Simplify right side
    208,091x = 195,454,178,404
  5. Step 5: Solve for x
    x = 195,454,178,404/208,091
  6. Step 6: Final answer
    x = 939,272.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.