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Finding the Third Proportional to 103,718 and 227,608

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Solution

The third proportional to 103,718 and 227,608 is: 499,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,718 : 227,608 = 227,608 : x
  2. Step 2: Convert to fraction form
    103,718/227,608 = 227,608/x
  3. Step 3: Cross multiply
    103,718x = 227,608 × 227,608
  4. Step 4: Simplify right side
    103,718x = 51,805,401,664
  5. Step 5: Solve for x
    x = 51,805,401,664/103,718
  6. Step 6: Final answer
    x = 499,483.23

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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.