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Finding the Third Proportional to 172,552 and 369,093

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Solution

The third proportional to 172,552 and 369,093 is: 789,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,552 : 369,093 = 369,093 : x
  2. Step 2: Convert to fraction form
    172,552/369,093 = 369,093/x
  3. Step 3: Cross multiply
    172,552x = 369,093 × 369,093
  4. Step 4: Simplify right side
    172,552x = 136,229,642,649
  5. Step 5: Solve for x
    x = 136,229,642,649/172,552
  6. Step 6: Final answer
    x = 789,499.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.