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Finding the Third Proportional to 142,120 and 303,934

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Solution

The third proportional to 142,120 and 303,934 is: 649,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,120 : 303,934 = 303,934 : x
  2. Step 2: Convert to fraction form
    142,120/303,934 = 303,934/x
  3. Step 3: Cross multiply
    142,120x = 303,934 × 303,934
  4. Step 4: Simplify right side
    142,120x = 92,375,876,356
  5. Step 5: Solve for x
    x = 92,375,876,356/142,120
  6. Step 6: Final answer
    x = 649,985.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.