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Finding the Third Proportional to 103,228 and 210,832

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Solution

The third proportional to 103,228 and 210,832 is: 430,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,228 : 210,832 = 210,832 : x
  2. Step 2: Convert to fraction form
    103,228/210,832 = 210,832/x
  3. Step 3: Cross multiply
    103,228x = 210,832 × 210,832
  4. Step 4: Simplify right side
    103,228x = 44,450,132,224
  5. Step 5: Solve for x
    x = 44,450,132,224/103,228
  6. Step 6: Final answer
    x = 430,601.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.