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Finding the Third Proportional to 185,976 and 270,324

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Solution

The third proportional to 185,976 and 270,324 is: 392,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,976 : 270,324 = 270,324 : x
  2. Step 2: Convert to fraction form
    185,976/270,324 = 270,324/x
  3. Step 3: Cross multiply
    185,976x = 270,324 × 270,324
  4. Step 4: Simplify right side
    185,976x = 73,075,064,976
  5. Step 5: Solve for x
    x = 73,075,064,976/185,976
  6. Step 6: Final answer
    x = 392,927.39

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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.