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Finding the Third Proportional to 173,905 and 366,491

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Solution

The third proportional to 173,905 and 366,491 is: 772,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,905 : 366,491 = 366,491 : x
  2. Step 2: Convert to fraction form
    173,905/366,491 = 366,491/x
  3. Step 3: Cross multiply
    173,905x = 366,491 × 366,491
  4. Step 4: Simplify right side
    173,905x = 134,315,653,081
  5. Step 5: Solve for x
    x = 134,315,653,081/173,905
  6. Step 6: Final answer
    x = 772,350.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.