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Finding the Third Proportional to 197,731 and 426,566

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Solution

The third proportional to 197,731 and 426,566 is: 920,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,731 : 426,566 = 426,566 : x
  2. Step 2: Convert to fraction form
    197,731/426,566 = 426,566/x
  3. Step 3: Cross multiply
    197,731x = 426,566 × 426,566
  4. Step 4: Simplify right side
    197,731x = 181,958,552,356
  5. Step 5: Solve for x
    x = 181,958,552,356/197,731
  6. Step 6: Final answer
    x = 920,232.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.