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Finding the Third Proportional to 103,956 and 227,656

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Solution

The third proportional to 103,956 and 227,656 is: 498,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,956 : 227,656 = 227,656 : x
  2. Step 2: Convert to fraction form
    103,956/227,656 = 227,656/x
  3. Step 3: Cross multiply
    103,956x = 227,656 × 227,656
  4. Step 4: Simplify right side
    103,956x = 51,827,254,336
  5. Step 5: Solve for x
    x = 51,827,254,336/103,956
  6. Step 6: Final answer
    x = 498,549.91

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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.