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Finding the Third Proportional to 169,231 and 371,673

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Solution

The third proportional to 169,231 and 371,673 is: 816,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,231 : 371,673 = 371,673 : x
  2. Step 2: Convert to fraction form
    169,231/371,673 = 371,673/x
  3. Step 3: Cross multiply
    169,231x = 371,673 × 371,673
  4. Step 4: Simplify right side
    169,231x = 138,140,818,929
  5. Step 5: Solve for x
    x = 138,140,818,929/169,231
  6. Step 6: Final answer
    x = 816,285.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.