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Finding the Third Proportional to 173,880 and 366,441

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Solution

The third proportional to 173,880 and 366,441 is: 772,251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,880 : 366,441 = 366,441 : x
  2. Step 2: Convert to fraction form
    173,880/366,441 = 366,441/x
  3. Step 3: Cross multiply
    173,880x = 366,441 × 366,441
  4. Step 4: Simplify right side
    173,880x = 134,279,006,481
  5. Step 5: Solve for x
    x = 134,279,006,481/173,880
  6. Step 6: Final answer
    x = 772,251.01

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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.