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Finding the Third Proportional to 103,952 and 227,648

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Solution

The third proportional to 103,952 and 227,648 is: 498,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,952 : 227,648 = 227,648 : x
  2. Step 2: Convert to fraction form
    103,952/227,648 = 227,648/x
  3. Step 3: Cross multiply
    103,952x = 227,648 × 227,648
  4. Step 4: Simplify right side
    103,952x = 51,823,611,904
  5. Step 5: Solve for x
    x = 51,823,611,904/103,952
  6. Step 6: Final answer
    x = 498,534.05

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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.