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Finding the Third Proportional to 221,188.25 and 483,772

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Solution

The third proportional to 221,188.25 and 483,772 is: 1,058,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,188.25 : 483,772 = 483,772 : x
  2. Step 2: Convert to fraction form
    221,188.25/483,772 = 483,772/x
  3. Step 3: Cross multiply
    221,188.25x = 483,772 × 483,772
  4. Step 4: Simplify right side
    221,188.25x = 234,035,347,984
  5. Step 5: Solve for x
    x = 234,035,347,984/221,188.25
  6. Step 6: Final answer
    x = 1,058,082.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.