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Finding the Third Proportional to 165,764 and 250,025

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Solution

The third proportional to 165,764 and 250,025 is: 377,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,764 : 250,025 = 250,025 : x
  2. Step 2: Convert to fraction form
    165,764/250,025 = 250,025/x
  3. Step 3: Cross multiply
    165,764x = 250,025 × 250,025
  4. Step 4: Simplify right side
    165,764x = 62,512,500,625
  5. Step 5: Solve for x
    x = 62,512,500,625/165,764
  6. Step 6: Final answer
    x = 377,117.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.