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Finding the Third Proportional to 156,946 and 345,563

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Solution

The third proportional to 156,946 and 345,563 is: 760,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946 : 345,563 = 345,563 : x
  2. Step 2: Convert to fraction form
    156,946/345,563 = 345,563/x
  3. Step 3: Cross multiply
    156,946x = 345,563 × 345,563
  4. Step 4: Simplify right side
    156,946x = 119,413,786,969
  5. Step 5: Solve for x
    x = 119,413,786,969/156,946
  6. Step 6: Final answer
    x = 760,859.07

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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.