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Finding the Third Proportional to 140,199 and 304,062

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Solution

The third proportional to 140,199 and 304,062 is: 659,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,199 : 304,062 = 304,062 : x
  2. Step 2: Convert to fraction form
    140,199/304,062 = 304,062/x
  3. Step 3: Cross multiply
    140,199x = 304,062 × 304,062
  4. Step 4: Simplify right side
    140,199x = 92,453,699,844
  5. Step 5: Solve for x
    x = 92,453,699,844/140,199
  6. Step 6: Final answer
    x = 659,446.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.