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Finding the Third Proportional to 251,586 and 367,011

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Solution

The third proportional to 251,586 and 367,011 is: 535,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,586 : 367,011 = 367,011 : x
  2. Step 2: Convert to fraction form
    251,586/367,011 = 367,011/x
  3. Step 3: Cross multiply
    251,586x = 367,011 × 367,011
  4. Step 4: Simplify right side
    251,586x = 134,697,074,121
  5. Step 5: Solve for x
    x = 134,697,074,121/251,586
  6. Step 6: Final answer
    x = 535,391.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.