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Finding the Third Proportional to 107,805 and 226,784

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Solution

The third proportional to 107,805 and 226,784 is: 477,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,805 : 226,784 = 226,784 : x
  2. Step 2: Convert to fraction form
    107,805/226,784 = 226,784/x
  3. Step 3: Cross multiply
    107,805x = 226,784 × 226,784
  4. Step 4: Simplify right side
    107,805x = 51,430,982,656
  5. Step 5: Solve for x
    x = 51,430,982,656/107,805
  6. Step 6: Final answer
    x = 477,074.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.