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Finding the Third Proportional to 208,350 and 295,006

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Solution

The third proportional to 208,350 and 295,006 is: 417,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,350 : 295,006 = 295,006 : x
  2. Step 2: Convert to fraction form
    208,350/295,006 = 295,006/x
  3. Step 3: Cross multiply
    208,350x = 295,006 × 295,006
  4. Step 4: Simplify right side
    208,350x = 87,028,540,036
  5. Step 5: Solve for x
    x = 87,028,540,036/208,350
  6. Step 6: Final answer
    x = 417,703.58

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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.