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Finding the Third Proportional to 150,428 and 327,843

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Solution

The third proportional to 150,428 and 327,843 is: 714,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,428 : 327,843 = 327,843 : x
  2. Step 2: Convert to fraction form
    150,428/327,843 = 327,843/x
  3. Step 3: Cross multiply
    150,428x = 327,843 × 327,843
  4. Step 4: Simplify right side
    150,428x = 107,481,032,649
  5. Step 5: Solve for x
    x = 107,481,032,649/150,428
  6. Step 6: Final answer
    x = 714,501.51

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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.