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Finding the Third Proportional to 184,732 and 297,498

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Solution

The third proportional to 184,732 and 297,498 is: 479,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,732 : 297,498 = 297,498 : x
  2. Step 2: Convert to fraction form
    184,732/297,498 = 297,498/x
  3. Step 3: Cross multiply
    184,732x = 297,498 × 297,498
  4. Step 4: Simplify right side
    184,732x = 88,505,060,004
  5. Step 5: Solve for x
    x = 88,505,060,004/184,732
  6. Step 6: Final answer
    x = 479,099.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.