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Finding the Third Proportional to 150,673 and 328,135

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Solution

The third proportional to 150,673 and 328,135 is: 714,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,673 : 328,135 = 328,135 : x
  2. Step 2: Convert to fraction form
    150,673/328,135 = 328,135/x
  3. Step 3: Cross multiply
    150,673x = 328,135 × 328,135
  4. Step 4: Simplify right side
    150,673x = 107,672,578,225
  5. Step 5: Solve for x
    x = 107,672,578,225/150,673
  6. Step 6: Final answer
    x = 714,610.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.