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Finding the Third Proportional to 173,552 and 261,804

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Solution

The third proportional to 173,552 and 261,804 is: 394,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,552 : 261,804 = 261,804 : x
  2. Step 2: Convert to fraction form
    173,552/261,804 = 261,804/x
  3. Step 3: Cross multiply
    173,552x = 261,804 × 261,804
  4. Step 4: Simplify right side
    173,552x = 68,541,334,416
  5. Step 5: Solve for x
    x = 68,541,334,416/173,552
  6. Step 6: Final answer
    x = 394,932.55

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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.