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Finding the Third Proportional to 184,863 and 297,624

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Solution

The third proportional to 184,863 and 297,624 is: 479,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,863 : 297,624 = 297,624 : x
  2. Step 2: Convert to fraction form
    184,863/297,624 = 297,624/x
  3. Step 3: Cross multiply
    184,863x = 297,624 × 297,624
  4. Step 4: Simplify right side
    184,863x = 88,580,045,376
  5. Step 5: Solve for x
    x = 88,580,045,376/184,863
  6. Step 6: Final answer
    x = 479,165.90

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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.