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Finding the Third Proportional to 184,116 and 270,342

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Solution

The third proportional to 184,116 and 270,342 is: 396,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,116 : 270,342 = 270,342 : x
  2. Step 2: Convert to fraction form
    184,116/270,342 = 270,342/x
  3. Step 3: Cross multiply
    184,116x = 270,342 × 270,342
  4. Step 4: Simplify right side
    184,116x = 73,084,796,964
  5. Step 5: Solve for x
    x = 73,084,796,964/184,116
  6. Step 6: Final answer
    x = 396,949.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.