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Finding the Third Proportional to 84,695 and 178,786

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Solution

The third proportional to 84,695 and 178,786 is: 377,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,695 : 178,786 = 178,786 : x
  2. Step 2: Convert to fraction form
    84,695/178,786 = 178,786/x
  3. Step 3: Cross multiply
    84,695x = 178,786 × 178,786
  4. Step 4: Simplify right side
    84,695x = 31,964,433,796
  5. Step 5: Solve for x
    x = 31,964,433,796/84,695
  6. Step 6: Final answer
    x = 377,406.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.