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Finding the Third Proportional to 195,382 and 304,739

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Solution

The third proportional to 195,382 and 304,739 is: 475,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,382 : 304,739 = 304,739 : x
  2. Step 2: Convert to fraction form
    195,382/304,739 = 304,739/x
  3. Step 3: Cross multiply
    195,382x = 304,739 × 304,739
  4. Step 4: Simplify right side
    195,382x = 92,865,858,121
  5. Step 5: Solve for x
    x = 92,865,858,121/195,382
  6. Step 6: Final answer
    x = 475,304.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.