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Finding the Third Proportional to 97,362 and 207,279

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Solution

The third proportional to 97,362 and 207,279 is: 441,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,362 : 207,279 = 207,279 : x
  2. Step 2: Convert to fraction form
    97,362/207,279 = 207,279/x
  3. Step 3: Cross multiply
    97,362x = 207,279 × 207,279
  4. Step 4: Simplify right side
    97,362x = 42,964,583,841
  5. Step 5: Solve for x
    x = 42,964,583,841/97,362
  6. Step 6: Final answer
    x = 441,286.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.