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Finding the Third Proportional to 169,454 and 334,655

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Solution

The third proportional to 169,454 and 334,655 is: 660,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,454 : 334,655 = 334,655 : x
  2. Step 2: Convert to fraction form
    169,454/334,655 = 334,655/x
  3. Step 3: Cross multiply
    169,454x = 334,655 × 334,655
  4. Step 4: Simplify right side
    169,454x = 111,993,969,025
  5. Step 5: Solve for x
    x = 111,993,969,025/169,454
  6. Step 6: Final answer
    x = 660,910.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.