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Finding the Third Proportional to 140,102 and 304,019

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Solution

The third proportional to 140,102 and 304,019 is: 659,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,102 : 304,019 = 304,019 : x
  2. Step 2: Convert to fraction form
    140,102/304,019 = 304,019/x
  3. Step 3: Cross multiply
    140,102x = 304,019 × 304,019
  4. Step 4: Simplify right side
    140,102x = 92,427,552,361
  5. Step 5: Solve for x
    x = 92,427,552,361/140,102
  6. Step 6: Final answer
    x = 659,716.15

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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.