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Finding the Third Proportional to 102,711 and 222,270

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Solution

The third proportional to 102,711 and 222,270 is: 480,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,711 : 222,270 = 222,270 : x
  2. Step 2: Convert to fraction form
    102,711/222,270 = 222,270/x
  3. Step 3: Cross multiply
    102,711x = 222,270 × 222,270
  4. Step 4: Simplify right side
    102,711x = 49,403,952,900
  5. Step 5: Solve for x
    x = 49,403,952,900/102,711
  6. Step 6: Final answer
    x = 480,999.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.