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Finding the Third Proportional to 208,343 and 294,997

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Solution

The third proportional to 208,343 and 294,997 is: 417,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,343 : 294,997 = 294,997 : x
  2. Step 2: Convert to fraction form
    208,343/294,997 = 294,997/x
  3. Step 3: Cross multiply
    208,343x = 294,997 × 294,997
  4. Step 4: Simplify right side
    208,343x = 87,023,230,009
  5. Step 5: Solve for x
    x = 87,023,230,009/208,343
  6. Step 6: Final answer
    x = 417,692.12

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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.