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Finding the Third Proportional to 161,682 and 247,139

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Solution

The third proportional to 161,682 and 247,139 is: 377,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,682 : 247,139 = 247,139 : x
  2. Step 2: Convert to fraction form
    161,682/247,139 = 247,139/x
  3. Step 3: Cross multiply
    161,682x = 247,139 × 247,139
  4. Step 4: Simplify right side
    161,682x = 61,077,685,321
  5. Step 5: Solve for x
    x = 61,077,685,321/161,682
  6. Step 6: Final answer
    x = 377,764.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.