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Finding the Third Proportional to 148,176 and 324,456

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Solution

The third proportional to 148,176 and 324,456 is: 710,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,176 : 324,456 = 324,456 : x
  2. Step 2: Convert to fraction form
    148,176/324,456 = 324,456/x
  3. Step 3: Cross multiply
    148,176x = 324,456 × 324,456
  4. Step 4: Simplify right side
    148,176x = 105,271,695,936
  5. Step 5: Solve for x
    x = 105,271,695,936/148,176
  6. Step 6: Final answer
    x = 710,450.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.