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Finding the Third Proportional to 103,201 and 210,775

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Solution

The third proportional to 103,201 and 210,775 is: 430,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,201 : 210,775 = 210,775 : x
  2. Step 2: Convert to fraction form
    103,201/210,775 = 210,775/x
  3. Step 3: Cross multiply
    103,201x = 210,775 × 210,775
  4. Step 4: Simplify right side
    103,201x = 44,426,100,625
  5. Step 5: Solve for x
    x = 44,426,100,625/103,201
  6. Step 6: Final answer
    x = 430,481.30

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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.