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Finding the Third Proportional to 148,918 and 321,162

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Solution

The third proportional to 148,918 and 321,162 is: 692,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,918 : 321,162 = 321,162 : x
  2. Step 2: Convert to fraction form
    148,918/321,162 = 321,162/x
  3. Step 3: Cross multiply
    148,918x = 321,162 × 321,162
  4. Step 4: Simplify right side
    148,918x = 103,145,030,244
  5. Step 5: Solve for x
    x = 103,145,030,244/148,918
  6. Step 6: Final answer
    x = 692,629.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.