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Finding the Third Proportional to 101,333.25 and 220,502.25

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Solution

The third proportional to 101,333.25 and 220,502.25 is: 479,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,333.25 : 220,502.25 = 220,502.25 : x
  2. Step 2: Convert to fraction form
    101,333.25/220,502.25 = 220,502.25/x
  3. Step 3: Cross multiply
    101,333.25x = 220,502.25 × 220,502.25
  4. Step 4: Simplify right side
    101,333.25x = 48,621,242,255.06
  5. Step 5: Solve for x
    x = 48,621,242,255.06/101,333.25
  6. Step 6: Final answer
    x = 479,815.29

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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.