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Finding the Third Proportional to 185,984 and 270,336

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Solution

The third proportional to 185,984 and 270,336 is: 392,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,984 : 270,336 = 270,336 : x
  2. Step 2: Convert to fraction form
    185,984/270,336 = 270,336/x
  3. Step 3: Cross multiply
    185,984x = 270,336 × 270,336
  4. Step 4: Simplify right side
    185,984x = 73,081,552,896
  5. Step 5: Solve for x
    x = 73,081,552,896/185,984
  6. Step 6: Final answer
    x = 392,945.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.