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Finding the Third Proportional to 88,608 and 194,438

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Solution

The third proportional to 88,608 and 194,438 is: 426,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,608 : 194,438 = 194,438 : x
  2. Step 2: Convert to fraction form
    88,608/194,438 = 194,438/x
  3. Step 3: Cross multiply
    88,608x = 194,438 × 194,438
  4. Step 4: Simplify right side
    88,608x = 37,806,135,844
  5. Step 5: Solve for x
    x = 37,806,135,844/88,608
  6. Step 6: Final answer
    x = 426,667.30

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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.