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Finding the Third Proportional to 197,561 and 426,226

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Solution

The third proportional to 197,561 and 426,226 is: 919,557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,561 : 426,226 = 426,226 : x
  2. Step 2: Convert to fraction form
    197,561/426,226 = 426,226/x
  3. Step 3: Cross multiply
    197,561x = 426,226 × 426,226
  4. Step 4: Simplify right side
    197,561x = 181,668,603,076
  5. Step 5: Solve for x
    x = 181,668,603,076/197,561
  6. Step 6: Final answer
    x = 919,557.01

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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.