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Finding the Third Proportional to 107,767 and 234,187

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Solution

The third proportional to 107,767 and 234,187 is: 508,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,767 : 234,187 = 234,187 : x
  2. Step 2: Convert to fraction form
    107,767/234,187 = 234,187/x
  3. Step 3: Cross multiply
    107,767x = 234,187 × 234,187
  4. Step 4: Simplify right side
    107,767x = 54,843,550,969
  5. Step 5: Solve for x
    x = 54,843,550,969/107,767
  6. Step 6: Final answer
    x = 508,908.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.