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Finding the Third Proportional to 169,460 and 334,668

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Solution

The third proportional to 169,460 and 334,668 is: 660,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,460 : 334,668 = 334,668 : x
  2. Step 2: Convert to fraction form
    169,460/334,668 = 334,668/x
  3. Step 3: Cross multiply
    169,460x = 334,668 × 334,668
  4. Step 4: Simplify right side
    169,460x = 112,002,670,224
  5. Step 5: Solve for x
    x = 112,002,670,224/169,460
  6. Step 6: Final answer
    x = 660,938.69

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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.