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Finding the Third Proportional to 175,179 and 362,814

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Solution

The third proportional to 175,179 and 362,814 is: 751,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,179 : 362,814 = 362,814 : x
  2. Step 2: Convert to fraction form
    175,179/362,814 = 362,814/x
  3. Step 3: Cross multiply
    175,179x = 362,814 × 362,814
  4. Step 4: Simplify right side
    175,179x = 131,633,998,596
  5. Step 5: Solve for x
    x = 131,633,998,596/175,179
  6. Step 6: Final answer
    x = 751,425.68

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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.