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Finding the Third Proportional to 138,673 and 208,989.50

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Solution

The third proportional to 138,673 and 208,989.50 is: 314,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,673 : 208,989.50 = 208,989.50 : x
  2. Step 2: Convert to fraction form
    138,673/208,989.50 = 208,989.50/x
  3. Step 3: Cross multiply
    138,673x = 208,989.50 × 208,989.50
  4. Step 4: Simplify right side
    138,673x = 43,676,611,110.25
  5. Step 5: Solve for x
    x = 43,676,611,110.25/138,673
  6. Step 6: Final answer
    x = 314,961.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.