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Finding the Third Proportional to 150,427 and 327,842

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Solution

The third proportional to 150,427 and 327,842 is: 714,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,427 : 327,842 = 327,842 : x
  2. Step 2: Convert to fraction form
    150,427/327,842 = 327,842/x
  3. Step 3: Cross multiply
    150,427x = 327,842 × 327,842
  4. Step 4: Simplify right side
    150,427x = 107,480,376,964
  5. Step 5: Solve for x
    x = 107,480,376,964/150,427
  6. Step 6: Final answer
    x = 714,501.90

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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.