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Finding the Third Proportional to 104,273 and 212,230

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Solution

The third proportional to 104,273 and 212,230 is: 431,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,273 : 212,230 = 212,230 : x
  2. Step 2: Convert to fraction form
    104,273/212,230 = 212,230/x
  3. Step 3: Cross multiply
    104,273x = 212,230 × 212,230
  4. Step 4: Simplify right side
    104,273x = 45,041,572,900
  5. Step 5: Solve for x
    x = 45,041,572,900/104,273
  6. Step 6: Final answer
    x = 431,958.16

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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.