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Finding the Third Proportional to 142,199 and 301,894

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Solution

The third proportional to 142,199 and 301,894 is: 640,932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,199 : 301,894 = 301,894 : x
  2. Step 2: Convert to fraction form
    142,199/301,894 = 301,894/x
  3. Step 3: Cross multiply
    142,199x = 301,894 × 301,894
  4. Step 4: Simplify right side
    142,199x = 91,139,987,236
  5. Step 5: Solve for x
    x = 91,139,987,236/142,199
  6. Step 6: Final answer
    x = 640,932.69

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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.