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Finding the Third Proportional to 171,994 and 247,737

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Solution

The third proportional to 171,994 and 247,737 is: 356,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,994 : 247,737 = 247,737 : x
  2. Step 2: Convert to fraction form
    171,994/247,737 = 247,737/x
  3. Step 3: Cross multiply
    171,994x = 247,737 × 247,737
  4. Step 4: Simplify right side
    171,994x = 61,373,621,169
  5. Step 5: Solve for x
    x = 61,373,621,169/171,994
  6. Step 6: Final answer
    x = 356,835.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.