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Finding the Third Proportional to 101,588 and 220,648

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Solution

The third proportional to 101,588 and 220,648 is: 479,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,588 : 220,648 = 220,648 : x
  2. Step 2: Convert to fraction form
    101,588/220,648 = 220,648/x
  3. Step 3: Cross multiply
    101,588x = 220,648 × 220,648
  4. Step 4: Simplify right side
    101,588x = 48,685,539,904
  5. Step 5: Solve for x
    x = 48,685,539,904/101,588
  6. Step 6: Final answer
    x = 479,244.99

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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.