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Finding the Third Proportional to 184,912 and 264,231

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Solution

The third proportional to 184,912 and 264,231 is: 377,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,912 : 264,231 = 264,231 : x
  2. Step 2: Convert to fraction form
    184,912/264,231 = 264,231/x
  3. Step 3: Cross multiply
    184,912x = 264,231 × 264,231
  4. Step 4: Simplify right side
    184,912x = 69,818,021,361
  5. Step 5: Solve for x
    x = 69,818,021,361/184,912
  6. Step 6: Final answer
    x = 377,574.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.