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Finding the Third Proportional to 102,255 and 223,098

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Solution

The third proportional to 102,255 and 223,098 is: 486,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,255 : 223,098 = 223,098 : x
  2. Step 2: Convert to fraction form
    102,255/223,098 = 223,098/x
  3. Step 3: Cross multiply
    102,255x = 223,098 × 223,098
  4. Step 4: Simplify right side
    102,255x = 49,772,717,604
  5. Step 5: Solve for x
    x = 49,772,717,604/102,255
  6. Step 6: Final answer
    x = 486,750.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.