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Finding the Third Proportional to 158,568.38 and 332,706.38

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Solution

The third proportional to 158,568.38 and 332,706.38 is: 698,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,568.38 : 332,706.38 = 332,706.38 : x
  2. Step 2: Convert to fraction form
    158,568.38/332,706.38 = 332,706.38/x
  3. Step 3: Cross multiply
    158,568.38x = 332,706.38 × 332,706.38
  4. Step 4: Simplify right side
    158,568.38x = 110,693,531,965.64
  5. Step 5: Solve for x
    x = 110,693,531,965.64/158,568.38
  6. Step 6: Final answer
    x = 698,080.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.