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Finding the Third Proportional to 139,291 and 208,938

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Solution

The third proportional to 139,291 and 208,938 is: 313,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,291 : 208,938 = 208,938 : x
  2. Step 2: Convert to fraction form
    139,291/208,938 = 208,938/x
  3. Step 3: Cross multiply
    139,291x = 208,938 × 208,938
  4. Step 4: Simplify right side
    139,291x = 43,655,087,844
  5. Step 5: Solve for x
    x = 43,655,087,844/139,291
  6. Step 6: Final answer
    x = 313,409.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.