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Finding the Third Proportional to 193,099 and 403,854

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Solution

The third proportional to 193,099 and 403,854 is: 844,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,099 : 403,854 = 403,854 : x
  2. Step 2: Convert to fraction form
    193,099/403,854 = 403,854/x
  3. Step 3: Cross multiply
    193,099x = 403,854 × 403,854
  4. Step 4: Simplify right side
    193,099x = 163,098,053,316
  5. Step 5: Solve for x
    x = 163,098,053,316/193,099
  6. Step 6: Final answer
    x = 844,634.38

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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.