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Finding the Third Proportional to 184,764 and 297,564

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Solution

The third proportional to 184,764 and 297,564 is: 479,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,764 : 297,564 = 297,564 : x
  2. Step 2: Convert to fraction form
    184,764/297,564 = 297,564/x
  3. Step 3: Cross multiply
    184,764x = 297,564 × 297,564
  4. Step 4: Simplify right side
    184,764x = 88,544,334,096
  5. Step 5: Solve for x
    x = 88,544,334,096/184,764
  6. Step 6: Final answer
    x = 479,229.36

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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.