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Finding the Third Proportional to 181,228.50 and 426,395.25

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Solution

The third proportional to 181,228.50 and 426,395.25 is: 1,003,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,228.50 : 426,395.25 = 426,395.25 : x
  2. Step 2: Convert to fraction form
    181,228.50/426,395.25 = 426,395.25/x
  3. Step 3: Cross multiply
    181,228.50x = 426,395.25 × 426,395.25
  4. Step 4: Simplify right side
    181,228.50x = 181,812,909,222.56
  5. Step 5: Solve for x
    x = 181,812,909,222.56/181,228.50
  6. Step 6: Final answer
    x = 1,003,224.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.