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Finding the Third Proportional to 145,471.50 and 225,774

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Solution

The third proportional to 145,471.50 and 225,774 is: 350,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,471.50 : 225,774 = 225,774 : x
  2. Step 2: Convert to fraction form
    145,471.50/225,774 = 225,774/x
  3. Step 3: Cross multiply
    145,471.50x = 225,774 × 225,774
  4. Step 4: Simplify right side
    145,471.50x = 50,973,899,076
  5. Step 5: Solve for x
    x = 50,973,899,076/145,471.50
  6. Step 6: Final answer
    x = 350,404.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.