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Finding the Third Proportional to 193,168.13 and 422,938.13

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Solution

The third proportional to 193,168.13 and 422,938.13 is: 926,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,168.13 : 422,938.13 = 422,938.13 : x
  2. Step 2: Convert to fraction form
    193,168.13/422,938.13 = 422,938.13/x
  3. Step 3: Cross multiply
    193,168.13x = 422,938.13 × 422,938.13
  4. Step 4: Simplify right side
    193,168.13x = 178,876,657,578.52
  5. Step 5: Solve for x
    x = 178,876,657,578.52/193,168.13
  6. Step 6: Final answer
    x = 926,015.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.