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Finding the Third Proportional to 101,190 and 220,602

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Solution

The third proportional to 101,190 and 220,602 is: 480,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,190 : 220,602 = 220,602 : x
  2. Step 2: Convert to fraction form
    101,190/220,602 = 220,602/x
  3. Step 3: Cross multiply
    101,190x = 220,602 × 220,602
  4. Step 4: Simplify right side
    101,190x = 48,665,242,404
  5. Step 5: Solve for x
    x = 48,665,242,404/101,190
  6. Step 6: Final answer
    x = 480,929.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.