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Finding the Third Proportional to 184,766 and 297,567

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Solution

The third proportional to 184,766 and 297,567 is: 479,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,766 : 297,567 = 297,567 : x
  2. Step 2: Convert to fraction form
    184,766/297,567 = 297,567/x
  3. Step 3: Cross multiply
    184,766x = 297,567 × 297,567
  4. Step 4: Simplify right side
    184,766x = 88,546,119,489
  5. Step 5: Solve for x
    x = 88,546,119,489/184,766
  6. Step 6: Final answer
    x = 479,233.84

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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.