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Finding the Third Proportional to 208,333.50 and 294,984

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Solution

The third proportional to 208,333.50 and 294,984 is: 417,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,333.50 : 294,984 = 294,984 : x
  2. Step 2: Convert to fraction form
    208,333.50/294,984 = 294,984/x
  3. Step 3: Cross multiply
    208,333.50x = 294,984 × 294,984
  4. Step 4: Simplify right side
    208,333.50x = 87,015,560,256
  5. Step 5: Solve for x
    x = 87,015,560,256/208,333.50
  6. Step 6: Final answer
    x = 417,674.36

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.