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Finding the Third Proportional to 103,693 and 227,473

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Solution

The third proportional to 103,693 and 227,473 is: 499,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693 : 227,473 = 227,473 : x
  2. Step 2: Convert to fraction form
    103,693/227,473 = 227,473/x
  3. Step 3: Cross multiply
    103,693x = 227,473 × 227,473
  4. Step 4: Simplify right side
    103,693x = 51,743,965,729
  5. Step 5: Solve for x
    x = 51,743,965,729/103,693
  6. Step 6: Final answer
    x = 499,011.17

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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.