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Finding the Third Proportional to 102,276 and 223,146

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Solution

The third proportional to 102,276 and 223,146 is: 486,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,276 : 223,146 = 223,146 : x
  2. Step 2: Convert to fraction form
    102,276/223,146 = 223,146/x
  3. Step 3: Cross multiply
    102,276x = 223,146 × 223,146
  4. Step 4: Simplify right side
    102,276x = 49,794,137,316
  5. Step 5: Solve for x
    x = 49,794,137,316/102,276
  6. Step 6: Final answer
    x = 486,860.43

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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.