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Finding the Third Proportional to 156,446 and 343,988

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Solution

The third proportional to 156,446 and 343,988 is: 756,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,446 : 343,988 = 343,988 : x
  2. Step 2: Convert to fraction form
    156,446/343,988 = 343,988/x
  3. Step 3: Cross multiply
    156,446x = 343,988 × 343,988
  4. Step 4: Simplify right side
    156,446x = 118,327,744,144
  5. Step 5: Solve for x
    x = 118,327,744,144/156,446
  6. Step 6: Final answer
    x = 756,348.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.