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Finding the Third Proportional to 184,900 and 242,816

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Solution

The third proportional to 184,900 and 242,816 is: 318,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,900 : 242,816 = 242,816 : x
  2. Step 2: Convert to fraction form
    184,900/242,816 = 242,816/x
  3. Step 3: Cross multiply
    184,900x = 242,816 × 242,816
  4. Step 4: Simplify right side
    184,900x = 58,959,609,856
  5. Step 5: Solve for x
    x = 58,959,609,856/184,900
  6. Step 6: Final answer
    x = 318,872.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.