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Finding the Third Proportional to 101,546 and 220,040

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Solution

The third proportional to 101,546 and 220,040 is: 476,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,546 : 220,040 = 220,040 : x
  2. Step 2: Convert to fraction form
    101,546/220,040 = 220,040/x
  3. Step 3: Cross multiply
    101,546x = 220,040 × 220,040
  4. Step 4: Simplify right side
    101,546x = 48,417,601,600
  5. Step 5: Solve for x
    x = 48,417,601,600/101,546
  6. Step 6: Final answer
    x = 476,804.62

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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.