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Finding the Third Proportional to 172,403 and 365,540

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Solution

The third proportional to 172,403 and 365,540 is: 775,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,403 : 365,540 = 365,540 : x
  2. Step 2: Convert to fraction form
    172,403/365,540 = 365,540/x
  3. Step 3: Cross multiply
    172,403x = 365,540 × 365,540
  4. Step 4: Simplify right side
    172,403x = 133,619,491,600
  5. Step 5: Solve for x
    x = 133,619,491,600/172,403
  6. Step 6: Final answer
    x = 775,041.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.