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Finding the Third Proportional to 227,723 and 361,935

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Solution

The third proportional to 227,723 and 361,935 is: 575,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,723 : 361,935 = 361,935 : x
  2. Step 2: Convert to fraction form
    227,723/361,935 = 361,935/x
  3. Step 3: Cross multiply
    227,723x = 361,935 × 361,935
  4. Step 4: Simplify right side
    227,723x = 130,996,944,225
  5. Step 5: Solve for x
    x = 130,996,944,225/227,723
  6. Step 6: Final answer
    x = 575,246.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.