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Finding the Third Proportional to 148,185 and 324,477

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Solution

The third proportional to 148,185 and 324,477 is: 710,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,185 : 324,477 = 324,477 : x
  2. Step 2: Convert to fraction form
    148,185/324,477 = 324,477/x
  3. Step 3: Cross multiply
    148,185x = 324,477 × 324,477
  4. Step 4: Simplify right side
    148,185x = 105,285,323,529
  5. Step 5: Solve for x
    x = 105,285,323,529/148,185
  6. Step 6: Final answer
    x = 710,499.20

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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.