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Finding the Third Proportional to 148,185 and 313,218

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Solution

The third proportional to 148,185 and 313,218 is: 662,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,185 : 313,218 = 313,218 : x
  2. Step 2: Convert to fraction form
    148,185/313,218 = 313,218/x
  3. Step 3: Cross multiply
    148,185x = 313,218 × 313,218
  4. Step 4: Simplify right side
    148,185x = 98,105,515,524
  5. Step 5: Solve for x
    x = 98,105,515,524/148,185
  6. Step 6: Final answer
    x = 662,047.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.