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Finding the Third Proportional to 148,896 and 324,036

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Solution

The third proportional to 148,896 and 324,036 is: 705,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,896 : 324,036 = 324,036 : x
  2. Step 2: Convert to fraction form
    148,896/324,036 = 324,036/x
  3. Step 3: Cross multiply
    148,896x = 324,036 × 324,036
  4. Step 4: Simplify right side
    148,896x = 104,999,329,296
  5. Step 5: Solve for x
    x = 104,999,329,296/148,896
  6. Step 6: Final answer
    x = 705,185.70

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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.