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Finding the Third Proportional to 152,078 and 365,909

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Solution

The third proportional to 152,078 and 365,909 is: 880,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,078 : 365,909 = 365,909 : x
  2. Step 2: Convert to fraction form
    152,078/365,909 = 365,909/x
  3. Step 3: Cross multiply
    152,078x = 365,909 × 365,909
  4. Step 4: Simplify right side
    152,078x = 133,889,396,281
  5. Step 5: Solve for x
    x = 133,889,396,281/152,078
  6. Step 6: Final answer
    x = 880,399.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.