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Finding the Third Proportional to 142,228 and 301,992

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Solution

The third proportional to 142,228 and 301,992 is: 641,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,228 : 301,992 = 301,992 : x
  2. Step 2: Convert to fraction form
    142,228/301,992 = 301,992/x
  3. Step 3: Cross multiply
    142,228x = 301,992 × 301,992
  4. Step 4: Simplify right side
    142,228x = 91,199,168,064
  5. Step 5: Solve for x
    x = 91,199,168,064/142,228
  6. Step 6: Final answer
    x = 641,218.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.