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Finding the Third Proportional to 181,036 and 253,219

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Solution

The third proportional to 181,036 and 253,219 is: 354,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,036 : 253,219 = 253,219 : x
  2. Step 2: Convert to fraction form
    181,036/253,219 = 253,219/x
  3. Step 3: Cross multiply
    181,036x = 253,219 × 253,219
  4. Step 4: Simplify right side
    181,036x = 64,119,861,961
  5. Step 5: Solve for x
    x = 64,119,861,961/181,036
  6. Step 6: Final answer
    x = 354,182.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.