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Finding the Third Proportional to 156,933 and 345,536

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Solution

The third proportional to 156,933 and 345,536 is: 760,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,933 : 345,536 = 345,536 : x
  2. Step 2: Convert to fraction form
    156,933/345,536 = 345,536/x
  3. Step 3: Cross multiply
    156,933x = 345,536 × 345,536
  4. Step 4: Simplify right side
    156,933x = 119,395,127,296
  5. Step 5: Solve for x
    x = 119,395,127,296/156,933
  6. Step 6: Final answer
    x = 760,803.19

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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.