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Finding the Third Proportional to 156,967 and 343,075

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Solution

The third proportional to 156,967 and 343,075 is: 749,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,967 : 343,075 = 343,075 : x
  2. Step 2: Convert to fraction form
    156,967/343,075 = 343,075/x
  3. Step 3: Cross multiply
    156,967x = 343,075 × 343,075
  4. Step 4: Simplify right side
    156,967x = 117,700,455,625
  5. Step 5: Solve for x
    x = 117,700,455,625/156,967
  6. Step 6: Final answer
    x = 749,842.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.