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Finding the Third Proportional to 184,308 and 270,576

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Solution

The third proportional to 184,308 and 270,576 is: 397,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,308 : 270,576 = 270,576 : x
  2. Step 2: Convert to fraction form
    184,308/270,576 = 270,576/x
  3. Step 3: Cross multiply
    184,308x = 270,576 × 270,576
  4. Step 4: Simplify right side
    184,308x = 73,211,371,776
  5. Step 5: Solve for x
    x = 73,211,371,776/184,308
  6. Step 6: Final answer
    x = 397,222.97

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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.