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Finding the Third Proportional to 303,187 and 660,162

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Solution

The third proportional to 303,187 and 660,162 is: 1,437,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,187 : 660,162 = 660,162 : x
  2. Step 2: Convert to fraction form
    303,187/660,162 = 660,162/x
  3. Step 3: Cross multiply
    303,187x = 660,162 × 660,162
  4. Step 4: Simplify right side
    303,187x = 435,813,866,244
  5. Step 5: Solve for x
    x = 435,813,866,244/303,187
  6. Step 6: Final answer
    x = 1,437,442.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.