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Finding the Third Proportional to 193,104 and 403,865

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Solution

The third proportional to 193,104 and 403,865 is: 844,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,104 : 403,865 = 403,865 : x
  2. Step 2: Convert to fraction form
    193,104/403,865 = 403,865/x
  3. Step 3: Cross multiply
    193,104x = 403,865 × 403,865
  4. Step 4: Simplify right side
    193,104x = 163,106,938,225
  5. Step 5: Solve for x
    x = 163,106,938,225/193,104
  6. Step 6: Final answer
    x = 844,658.52

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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.