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Finding the Third Proportional to 208,857 and 336,289.50

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Solution

The third proportional to 208,857 and 336,289.50 is: 541,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,857 : 336,289.50 = 336,289.50 : x
  2. Step 2: Convert to fraction form
    208,857/336,289.50 = 336,289.50/x
  3. Step 3: Cross multiply
    208,857x = 336,289.50 × 336,289.50
  4. Step 4: Simplify right side
    208,857x = 113,090,627,810.25
  5. Step 5: Solve for x
    x = 113,090,627,810.25/208,857
  6. Step 6: Final answer
    x = 541,473.96

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.