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Finding the Third Proportional to 243,208 and 327,416

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Solution

The third proportional to 243,208 and 327,416 is: 440,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,208 : 327,416 = 327,416 : x
  2. Step 2: Convert to fraction form
    243,208/327,416 = 327,416/x
  3. Step 3: Cross multiply
    243,208x = 327,416 × 327,416
  4. Step 4: Simplify right side
    243,208x = 107,201,237,056
  5. Step 5: Solve for x
    x = 107,201,237,056/243,208
  6. Step 6: Final answer
    x = 440,780.06

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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.