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Finding the Third Proportional to 207,579 and 265,245

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Solution

The third proportional to 207,579 and 265,245 is: 338,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,579 : 265,245 = 265,245 : x
  2. Step 2: Convert to fraction form
    207,579/265,245 = 265,245/x
  3. Step 3: Cross multiply
    207,579x = 265,245 × 265,245
  4. Step 4: Simplify right side
    207,579x = 70,354,910,025
  5. Step 5: Solve for x
    x = 70,354,910,025/207,579
  6. Step 6: Final answer
    x = 338,930.77

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.