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Finding the Third Proportional to 197,741 and 426,586

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Solution

The third proportional to 197,741 and 426,586 is: 920,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,741 : 426,586 = 426,586 : x
  2. Step 2: Convert to fraction form
    197,741/426,586 = 426,586/x
  3. Step 3: Cross multiply
    197,741x = 426,586 × 426,586
  4. Step 4: Simplify right side
    197,741x = 181,975,615,396
  5. Step 5: Solve for x
    x = 181,975,615,396/197,741
  6. Step 6: Final answer
    x = 920,272.56

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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.