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Finding the Third Proportional to 148,922 and 324,112

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Solution

The third proportional to 148,922 and 324,112 is: 705,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,922 : 324,112 = 324,112 : x
  2. Step 2: Convert to fraction form
    148,922/324,112 = 324,112/x
  3. Step 3: Cross multiply
    148,922x = 324,112 × 324,112
  4. Step 4: Simplify right side
    148,922x = 105,048,588,544
  5. Step 5: Solve for x
    x = 105,048,588,544/148,922
  6. Step 6: Final answer
    x = 705,393.35

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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.