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Finding the Third Proportional to 172,604.25 and 264,920.63

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Solution

The third proportional to 172,604.25 and 264,920.63 is: 406,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,604.25 : 264,920.63 = 264,920.63 : x
  2. Step 2: Convert to fraction form
    172,604.25/264,920.63 = 264,920.63/x
  3. Step 3: Cross multiply
    172,604.25x = 264,920.63 × 264,920.63
  4. Step 4: Simplify right side
    172,604.25x = 70,182,937,550.39
  5. Step 5: Solve for x
    x = 70,182,937,550.39/172,604.25
  6. Step 6: Final answer
    x = 406,611.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.