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Finding the Third Proportional to 101,580 and 220,632

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Solution

The third proportional to 101,580 and 220,632 is: 479,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,580 : 220,632 = 220,632 : x
  2. Step 2: Convert to fraction form
    101,580/220,632 = 220,632/x
  3. Step 3: Cross multiply
    101,580x = 220,632 × 220,632
  4. Step 4: Simplify right side
    101,580x = 48,678,479,424
  5. Step 5: Solve for x
    x = 48,678,479,424/101,580
  6. Step 6: Final answer
    x = 479,213.23

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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.