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Finding the Third Proportional to 107,769 and 234,191

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Solution

The third proportional to 107,769 and 234,191 is: 508,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,769 : 234,191 = 234,191 : x
  2. Step 2: Convert to fraction form
    107,769/234,191 = 234,191/x
  3. Step 3: Cross multiply
    107,769x = 234,191 × 234,191
  4. Step 4: Simplify right side
    107,769x = 54,845,424,481
  5. Step 5: Solve for x
    x = 54,845,424,481/107,769
  6. Step 6: Final answer
    x = 508,916.52

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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.