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Finding the Third Proportional to 176,190.19 and 248,429.53

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Solution

The third proportional to 176,190.19 and 248,429.53 is: 350,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,190.19 : 248,429.53 = 248,429.53 : x
  2. Step 2: Convert to fraction form
    176,190.19/248,429.53 = 248,429.53/x
  3. Step 3: Cross multiply
    176,190.19x = 248,429.53 × 248,429.53
  4. Step 4: Simplify right side
    176,190.19x = 61,717,231,997.09
  5. Step 5: Solve for x
    x = 61,717,231,997.09/176,190.19
  6. Step 6: Final answer
    x = 350,287.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.