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Finding the Third Proportional to 155,880 and 334,926

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Solution

The third proportional to 155,880 and 334,926 is: 719,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,880 : 334,926 = 334,926 : x
  2. Step 2: Convert to fraction form
    155,880/334,926 = 334,926/x
  3. Step 3: Cross multiply
    155,880x = 334,926 × 334,926
  4. Step 4: Simplify right side
    155,880x = 112,175,425,476
  5. Step 5: Solve for x
    x = 112,175,425,476/155,880
  6. Step 6: Final answer
    x = 719,626.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.