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Finding the Third Proportional to 193,097 and 403,850

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Solution

The third proportional to 193,097 and 403,850 is: 844,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,097 : 403,850 = 403,850 : x
  2. Step 2: Convert to fraction form
    193,097/403,850 = 403,850/x
  3. Step 3: Cross multiply
    193,097x = 403,850 × 403,850
  4. Step 4: Simplify right side
    193,097x = 163,094,822,500
  5. Step 5: Solve for x
    x = 163,094,822,500/193,097
  6. Step 6: Final answer
    x = 844,626.39

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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.