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Finding the Third Proportional to 101,574 and 220,098

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Solution

The third proportional to 101,574 and 220,098 is: 476,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,574 : 220,098 = 220,098 : x
  2. Step 2: Convert to fraction form
    101,574/220,098 = 220,098/x
  3. Step 3: Cross multiply
    101,574x = 220,098 × 220,098
  4. Step 4: Simplify right side
    101,574x = 48,443,129,604
  5. Step 5: Solve for x
    x = 48,443,129,604/101,574
  6. Step 6: Final answer
    x = 476,924.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.