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Finding the Third Proportional to 150,043 and 325,847

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Solution

The third proportional to 150,043 and 325,847 is: 707,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,043 : 325,847 = 325,847 : x
  2. Step 2: Convert to fraction form
    150,043/325,847 = 325,847/x
  3. Step 3: Cross multiply
    150,043x = 325,847 × 325,847
  4. Step 4: Simplify right side
    150,043x = 106,176,267,409
  5. Step 5: Solve for x
    x = 106,176,267,409/150,043
  6. Step 6: Final answer
    x = 707,638.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.