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Finding the Third Proportional to 173,901 and 366,483

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Solution

The third proportional to 173,901 and 366,483 is: 772,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,901 : 366,483 = 366,483 : x
  2. Step 2: Convert to fraction form
    173,901/366,483 = 366,483/x
  3. Step 3: Cross multiply
    173,901x = 366,483 × 366,483
  4. Step 4: Simplify right side
    173,901x = 134,309,789,289
  5. Step 5: Solve for x
    x = 134,309,789,289/173,901
  6. Step 6: Final answer
    x = 772,334.77

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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.