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Finding the Third Proportional to 146,665.69 and 235,846.69

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Solution

The third proportional to 146,665.69 and 235,846.69 is: 379,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,665.69 : 235,846.69 = 235,846.69 : x
  2. Step 2: Convert to fraction form
    146,665.69/235,846.69 = 235,846.69/x
  3. Step 3: Cross multiply
    146,665.69x = 235,846.69 × 235,846.69
  4. Step 4: Simplify right side
    146,665.69x = 55,623,660,004.72
  5. Step 5: Solve for x
    x = 55,623,660,004.72/146,665.69
  6. Step 6: Final answer
    x = 379,254.76

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.