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Finding the Third Proportional to 236,519 and 366,926

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Solution

The third proportional to 236,519 and 366,926 is: 569,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,519 : 366,926 = 366,926 : x
  2. Step 2: Convert to fraction form
    236,519/366,926 = 366,926/x
  3. Step 3: Cross multiply
    236,519x = 366,926 × 366,926
  4. Step 4: Simplify right side
    236,519x = 134,634,689,476
  5. Step 5: Solve for x
    x = 134,634,689,476/236,519
  6. Step 6: Final answer
    x = 569,234.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.