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Finding the Third Proportional to 140,530 and 304,388

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Solution

The third proportional to 140,530 and 304,388 is: 659,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,530 : 304,388 = 304,388 : x
  2. Step 2: Convert to fraction form
    140,530/304,388 = 304,388/x
  3. Step 3: Cross multiply
    140,530x = 304,388 × 304,388
  4. Step 4: Simplify right side
    140,530x = 92,652,054,544
  5. Step 5: Solve for x
    x = 92,652,054,544/140,530
  6. Step 6: Final answer
    x = 659,304.45

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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.