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Finding the Third Proportional to 129,946 and 190,311

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Solution

The third proportional to 129,946 and 190,311 is: 278,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,946 : 190,311 = 190,311 : x
  2. Step 2: Convert to fraction form
    129,946/190,311 = 190,311/x
  3. Step 3: Cross multiply
    129,946x = 190,311 × 190,311
  4. Step 4: Simplify right side
    129,946x = 36,218,276,721
  5. Step 5: Solve for x
    x = 36,218,276,721/129,946
  6. Step 6: Final answer
    x = 278,717.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.