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Finding the Third Proportional to 184,733 and 297,500

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Solution

The third proportional to 184,733 and 297,500 is: 479,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,733 : 297,500 = 297,500 : x
  2. Step 2: Convert to fraction form
    184,733/297,500 = 297,500/x
  3. Step 3: Cross multiply
    184,733x = 297,500 × 297,500
  4. Step 4: Simplify right side
    184,733x = 88,506,250,000
  5. Step 5: Solve for x
    x = 88,506,250,000/184,733
  6. Step 6: Final answer
    x = 479,103.63

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