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Finding the Third Proportional to 208,339 and 294,991

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Solution

The third proportional to 208,339 and 294,991 is: 417,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,339 : 294,991 = 294,991 : x
  2. Step 2: Convert to fraction form
    208,339/294,991 = 294,991/x
  3. Step 3: Cross multiply
    208,339x = 294,991 × 294,991
  4. Step 4: Simplify right side
    208,339x = 87,019,690,081
  5. Step 5: Solve for x
    x = 87,019,690,081/208,339
  6. Step 6: Final answer
    x = 417,683.15

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Why These Related Problems?

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