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Finding the Third Proportional to 148,968 and 322,948

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Solution

The third proportional to 148,968 and 322,948 is: 700,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,968 : 322,948 = 322,948 : x
  2. Step 2: Convert to fraction form
    148,968/322,948 = 322,948/x
  3. Step 3: Cross multiply
    148,968x = 322,948 × 322,948
  4. Step 4: Simplify right side
    148,968x = 104,295,410,704
  5. Step 5: Solve for x
    x = 104,295,410,704/148,968
  6. Step 6: Final answer
    x = 700,119.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.