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Finding the Third Proportional to 193,658 and 422,362

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Solution

The third proportional to 193,658 and 422,362 is: 921,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,658 : 422,362 = 422,362 : x
  2. Step 2: Convert to fraction form
    193,658/422,362 = 422,362/x
  3. Step 3: Cross multiply
    193,658x = 422,362 × 422,362
  4. Step 4: Simplify right side
    193,658x = 178,389,659,044
  5. Step 5: Solve for x
    x = 178,389,659,044/193,658
  6. Step 6: Final answer
    x = 921,158.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.