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Finding the Third Proportional to 148,953 and 324,168

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Solution

The third proportional to 148,953 and 324,168 is: 705,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,953 : 324,168 = 324,168 : x
  2. Step 2: Convert to fraction form
    148,953/324,168 = 324,168/x
  3. Step 3: Cross multiply
    148,953x = 324,168 × 324,168
  4. Step 4: Simplify right side
    148,953x = 105,084,892,224
  5. Step 5: Solve for x
    x = 105,084,892,224/148,953
  6. Step 6: Final answer
    x = 705,490.27

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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.