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Finding the Third Proportional to 229,648 and 337,668

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Solution

The third proportional to 229,648 and 337,668 is: 496,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,648 : 337,668 = 337,668 : x
  2. Step 2: Convert to fraction form
    229,648/337,668 = 337,668/x
  3. Step 3: Cross multiply
    229,648x = 337,668 × 337,668
  4. Step 4: Simplify right side
    229,648x = 114,019,678,224
  5. Step 5: Solve for x
    x = 114,019,678,224/229,648
  6. Step 6: Final answer
    x = 496,497.59

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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.