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Finding the Third Proportional to 150,045 and 327,972

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Solution

The third proportional to 150,045 and 327,972 is: 716,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,045 : 327,972 = 327,972 : x
  2. Step 2: Convert to fraction form
    150,045/327,972 = 327,972/x
  3. Step 3: Cross multiply
    150,045x = 327,972 × 327,972
  4. Step 4: Simplify right side
    150,045x = 107,565,632,784
  5. Step 5: Solve for x
    x = 107,565,632,784/150,045
  6. Step 6: Final answer
    x = 716,889.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.