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Finding the Third Proportional to 134,946 and 214,434

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Solution

The third proportional to 134,946 and 214,434 is: 340,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,946 : 214,434 = 214,434 : x
  2. Step 2: Convert to fraction form
    134,946/214,434 = 214,434/x
  3. Step 3: Cross multiply
    134,946x = 214,434 × 214,434
  4. Step 4: Simplify right side
    134,946x = 45,981,940,356
  5. Step 5: Solve for x
    x = 45,981,940,356/134,946
  6. Step 6: Final answer
    x = 340,743.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.