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Finding the Third Proportional to 103,972 and 227,688

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Solution

The third proportional to 103,972 and 227,688 is: 498,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,972 : 227,688 = 227,688 : x
  2. Step 2: Convert to fraction form
    103,972/227,688 = 227,688/x
  3. Step 3: Cross multiply
    103,972x = 227,688 × 227,688
  4. Step 4: Simplify right side
    103,972x = 51,841,825,344
  5. Step 5: Solve for x
    x = 51,841,825,344/103,972
  6. Step 6: Final answer
    x = 498,613.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.