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Finding the Third Proportional to 169,461 and 334,670

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Solution

The third proportional to 169,461 and 334,670 is: 660,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,461 : 334,670 = 334,670 : x
  2. Step 2: Convert to fraction form
    169,461/334,670 = 334,670/x
  3. Step 3: Cross multiply
    169,461x = 334,670 × 334,670
  4. Step 4: Simplify right side
    169,461x = 112,004,008,900
  5. Step 5: Solve for x
    x = 112,004,008,900/169,461
  6. Step 6: Final answer
    x = 660,942.69

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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.