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Finding the Third Proportional to 152,826 and 331,926

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Solution

The third proportional to 152,826 and 331,926 is: 720,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,826 : 331,926 = 331,926 : x
  2. Step 2: Convert to fraction form
    152,826/331,926 = 331,926/x
  3. Step 3: Cross multiply
    152,826x = 331,926 × 331,926
  4. Step 4: Simplify right side
    152,826x = 110,174,869,476
  5. Step 5: Solve for x
    x = 110,174,869,476/152,826
  6. Step 6: Final answer
    x = 720,917.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.