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Finding the Third Proportional to 139,598 and 222,347

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Solution

The third proportional to 139,598 and 222,347 is: 354,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,598 : 222,347 = 222,347 : x
  2. Step 2: Convert to fraction form
    139,598/222,347 = 222,347/x
  3. Step 3: Cross multiply
    139,598x = 222,347 × 222,347
  4. Step 4: Simplify right side
    139,598x = 49,438,188,409
  5. Step 5: Solve for x
    x = 49,438,188,409/139,598
  6. Step 6: Final answer
    x = 354,146.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.