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Finding the Third Proportional to 107,798 and 226,767

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Solution

The third proportional to 107,798 and 226,767 is: 477,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,798 : 226,767 = 226,767 : x
  2. Step 2: Convert to fraction form
    107,798/226,767 = 226,767/x
  3. Step 3: Cross multiply
    107,798x = 226,767 × 226,767
  4. Step 4: Simplify right side
    107,798x = 51,423,272,289
  5. Step 5: Solve for x
    x = 51,423,272,289/107,798
  6. Step 6: Final answer
    x = 477,033.64

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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.