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Finding the Third Proportional to 184,848 and 264,342

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Solution

The third proportional to 184,848 and 264,342 is: 378,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,848 : 264,342 = 264,342 : x
  2. Step 2: Convert to fraction form
    184,848/264,342 = 264,342/x
  3. Step 3: Cross multiply
    184,848x = 264,342 × 264,342
  4. Step 4: Simplify right side
    184,848x = 69,876,692,964
  5. Step 5: Solve for x
    x = 69,876,692,964/184,848
  6. Step 6: Final answer
    x = 378,022.45

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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.