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Finding the Third Proportional to 221,187.75 and 483,771

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Solution

The third proportional to 221,187.75 and 483,771 is: 1,058,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,187.75 : 483,771 = 483,771 : x
  2. Step 2: Convert to fraction form
    221,187.75/483,771 = 483,771/x
  3. Step 3: Cross multiply
    221,187.75x = 483,771 × 483,771
  4. Step 4: Simplify right side
    221,187.75x = 234,034,380,441
  5. Step 5: Solve for x
    x = 234,034,380,441/221,187.75
  6. Step 6: Final answer
    x = 1,058,080.21

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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.