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Finding the Third Proportional to 197,666 and 425,351

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Solution

The third proportional to 197,666 and 425,351 is: 915,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,666 : 425,351 = 425,351 : x
  2. Step 2: Convert to fraction form
    197,666/425,351 = 425,351/x
  3. Step 3: Cross multiply
    197,666x = 425,351 × 425,351
  4. Step 4: Simplify right side
    197,666x = 180,923,473,201
  5. Step 5: Solve for x
    x = 180,923,473,201/197,666
  6. Step 6: Final answer
    x = 915,298.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.