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Finding the Third Proportional to 156,796 and 305,708

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Solution

The third proportional to 156,796 and 305,708 is: 596,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,796 : 305,708 = 305,708 : x
  2. Step 2: Convert to fraction form
    156,796/305,708 = 305,708/x
  3. Step 3: Cross multiply
    156,796x = 305,708 × 305,708
  4. Step 4: Simplify right side
    156,796x = 93,457,381,264
  5. Step 5: Solve for x
    x = 93,457,381,264/156,796
  6. Step 6: Final answer
    x = 596,044.42

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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.