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Finding the Third Proportional to 243,026 and 327,162

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Solution

The third proportional to 243,026 and 327,162 is: 440,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,026 : 327,162 = 327,162 : x
  2. Step 2: Convert to fraction form
    243,026/327,162 = 327,162/x
  3. Step 3: Cross multiply
    243,026x = 327,162 × 327,162
  4. Step 4: Simplify right side
    243,026x = 107,034,974,244
  5. Step 5: Solve for x
    x = 107,034,974,244/243,026
  6. Step 6: Final answer
    x = 440,426.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.