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Finding the Third Proportional to 109,556 and 230,180

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Solution

The third proportional to 109,556 and 230,180 is: 483,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,556 : 230,180 = 230,180 : x
  2. Step 2: Convert to fraction form
    109,556/230,180 = 230,180/x
  3. Step 3: Cross multiply
    109,556x = 230,180 × 230,180
  4. Step 4: Simplify right side
    109,556x = 52,982,832,400
  5. Step 5: Solve for x
    x = 52,982,832,400/109,556
  6. Step 6: Final answer
    x = 483,614.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.