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Finding the Third Proportional to 230,292 and 338,856

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Solution

The third proportional to 230,292 and 338,856 is: 498,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,292 : 338,856 = 338,856 : x
  2. Step 2: Convert to fraction form
    230,292/338,856 = 338,856/x
  3. Step 3: Cross multiply
    230,292x = 338,856 × 338,856
  4. Step 4: Simplify right side
    230,292x = 114,823,388,736
  5. Step 5: Solve for x
    x = 114,823,388,736/230,292
  6. Step 6: Final answer
    x = 498,599.12

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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.