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Finding the Third Proportional to 209,234 and 453,230

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Solution

The third proportional to 209,234 and 453,230 is: 981,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,234 : 453,230 = 453,230 : x
  2. Step 2: Convert to fraction form
    209,234/453,230 = 453,230/x
  3. Step 3: Cross multiply
    209,234x = 453,230 × 453,230
  4. Step 4: Simplify right side
    209,234x = 205,417,432,900
  5. Step 5: Solve for x
    x = 205,417,432,900/209,234
  6. Step 6: Final answer
    x = 981,759.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.