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Finding the Third Proportional to 184,850 and 264,345

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Solution

The third proportional to 184,850 and 264,345 is: 378,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,850 : 264,345 = 264,345 : x
  2. Step 2: Convert to fraction form
    184,850/264,345 = 264,345/x
  3. Step 3: Cross multiply
    184,850x = 264,345 × 264,345
  4. Step 4: Simplify right side
    184,850x = 69,878,279,025
  5. Step 5: Solve for x
    x = 69,878,279,025/184,850
  6. Step 6: Final answer
    x = 378,026.94

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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.