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Finding the Third Proportional to 155,860 and 365,026

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Solution

The third proportional to 155,860 and 365,026 is: 854,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,860 : 365,026 = 365,026 : x
  2. Step 2: Convert to fraction form
    155,860/365,026 = 365,026/x
  3. Step 3: Cross multiply
    155,860x = 365,026 × 365,026
  4. Step 4: Simplify right side
    155,860x = 133,243,980,676
  5. Step 5: Solve for x
    x = 133,243,980,676/155,860
  6. Step 6: Final answer
    x = 854,895.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.