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Finding the Third Proportional to 151,938 and 327,222

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Solution

The third proportional to 151,938 and 327,222 is: 704,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,938 : 327,222 = 327,222 : x
  2. Step 2: Convert to fraction form
    151,938/327,222 = 327,222/x
  3. Step 3: Cross multiply
    151,938x = 327,222 × 327,222
  4. Step 4: Simplify right side
    151,938x = 107,074,237,284
  5. Step 5: Solve for x
    x = 107,074,237,284/151,938
  6. Step 6: Final answer
    x = 704,723.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.