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Finding the Third Proportional to 148,224 and 324,558

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Solution

The third proportional to 148,224 and 324,558 is: 710,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,224 : 324,558 = 324,558 : x
  2. Step 2: Convert to fraction form
    148,224/324,558 = 324,558/x
  3. Step 3: Cross multiply
    148,224x = 324,558 × 324,558
  4. Step 4: Simplify right side
    148,224x = 105,337,895,364
  5. Step 5: Solve for x
    x = 105,337,895,364/148,224
  6. Step 6: Final answer
    x = 710,666.93

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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.