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Finding the Third Proportional to 156,356 and 304,934

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Solution

The third proportional to 156,356 and 304,934 is: 594,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,356 : 304,934 = 304,934 : x
  2. Step 2: Convert to fraction form
    156,356/304,934 = 304,934/x
  3. Step 3: Cross multiply
    156,356x = 304,934 × 304,934
  4. Step 4: Simplify right side
    156,356x = 92,984,744,356
  5. Step 5: Solve for x
    x = 92,984,744,356/156,356
  6. Step 6: Final answer
    x = 594,698.92

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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.