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Finding the Third Proportional to 165,175.50 and 360,687.75

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Solution

The third proportional to 165,175.50 and 360,687.75 is: 787,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,175.50 : 360,687.75 = 360,687.75 : x
  2. Step 2: Convert to fraction form
    165,175.50/360,687.75 = 360,687.75/x
  3. Step 3: Cross multiply
    165,175.50x = 360,687.75 × 360,687.75
  4. Step 4: Simplify right side
    165,175.50x = 130,095,653,000.06
  5. Step 5: Solve for x
    x = 130,095,653,000.06/165,175.50
  6. Step 6: Final answer
    x = 787,620.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.