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Finding the Third Proportional to 148,878 and 324,006

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Solution

The third proportional to 148,878 and 324,006 is: 705,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,878 : 324,006 = 324,006 : x
  2. Step 2: Convert to fraction form
    148,878/324,006 = 324,006/x
  3. Step 3: Cross multiply
    148,878x = 324,006 × 324,006
  4. Step 4: Simplify right side
    148,878x = 104,979,888,036
  5. Step 5: Solve for x
    x = 104,979,888,036/148,878
  6. Step 6: Final answer
    x = 705,140.37

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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.