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Finding the Third Proportional to 167,986.83 and 362,717.58

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Solution

The third proportional to 167,986.83 and 362,717.58 is: 783,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,986.83 : 362,717.58 = 362,717.58 : x
  2. Step 2: Convert to fraction form
    167,986.83/362,717.58 = 362,717.58/x
  3. Step 3: Cross multiply
    167,986.83x = 362,717.58 × 362,717.58
  4. Step 4: Simplify right side
    167,986.83x = 131,564,041,480.87
  5. Step 5: Solve for x
    x = 131,564,041,480.87/167,986.83
  6. Step 6: Final answer
    x = 783,180.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.