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Finding the Third Proportional to 131,674 and 198,673

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Solution

The third proportional to 131,674 and 198,673 is: 299,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,674 : 198,673 = 198,673 : x
  2. Step 2: Convert to fraction form
    131,674/198,673 = 198,673/x
  3. Step 3: Cross multiply
    131,674x = 198,673 × 198,673
  4. Step 4: Simplify right side
    131,674x = 39,470,960,929
  5. Step 5: Solve for x
    x = 39,470,960,929/131,674
  6. Step 6: Final answer
    x = 299,762.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.