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Finding the Third Proportional to 156,354 and 304,930

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Solution

The third proportional to 156,354 and 304,930 is: 594,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,354 : 304,930 = 304,930 : x
  2. Step 2: Convert to fraction form
    156,354/304,930 = 304,930/x
  3. Step 3: Cross multiply
    156,354x = 304,930 × 304,930
  4. Step 4: Simplify right side
    156,354x = 92,982,304,900
  5. Step 5: Solve for x
    x = 92,982,304,900/156,354
  6. Step 6: Final answer
    x = 594,690.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.