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Finding the Third Proportional to 191,422.50 and 281,214

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Solution

The third proportional to 191,422.50 and 281,214 is: 413,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,422.50 : 281,214 = 281,214 : x
  2. Step 2: Convert to fraction form
    191,422.50/281,214 = 281,214/x
  3. Step 3: Cross multiply
    191,422.50x = 281,214 × 281,214
  4. Step 4: Simplify right side
    191,422.50x = 79,081,313,796
  5. Step 5: Solve for x
    x = 79,081,313,796/191,422.50
  6. Step 6: Final answer
    x = 413,124.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.