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Finding the Third Proportional to 175,165 and 362,785

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Solution

The third proportional to 175,165 and 362,785 is: 751,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,165 : 362,785 = 362,785 : x
  2. Step 2: Convert to fraction form
    175,165/362,785 = 362,785/x
  3. Step 3: Cross multiply
    175,165x = 362,785 × 362,785
  4. Step 4: Simplify right side
    175,165x = 131,612,956,225
  5. Step 5: Solve for x
    x = 131,612,956,225/175,165
  6. Step 6: Final answer
    x = 751,365.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.