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Finding the Third Proportional to 193,086 and 403,817.25

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Solution

The third proportional to 193,086 and 403,817.25 is: 844,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,086 : 403,817.25 = 403,817.25 : x
  2. Step 2: Convert to fraction form
    193,086/403,817.25 = 403,817.25/x
  3. Step 3: Cross multiply
    193,086x = 403,817.25 × 403,817.25
  4. Step 4: Simplify right side
    193,086x = 163,068,371,397.56
  5. Step 5: Solve for x
    x = 163,068,371,397.56/193,086
  6. Step 6: Final answer
    x = 844,537.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.