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Finding the Third Proportional to 184,848 and 297,672

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Solution

The third proportional to 184,848 and 297,672 is: 479,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,848 : 297,672 = 297,672 : x
  2. Step 2: Convert to fraction form
    184,848/297,672 = 297,672/x
  3. Step 3: Cross multiply
    184,848x = 297,672 × 297,672
  4. Step 4: Simplify right side
    184,848x = 88,608,619,584
  5. Step 5: Solve for x
    x = 88,608,619,584/184,848
  6. Step 6: Final answer
    x = 479,359.36

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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.