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Finding the Third Proportional to 148,946 and 324,102

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Solution

The third proportional to 148,946 and 324,102 is: 705,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,946 : 324,102 = 324,102 : x
  2. Step 2: Convert to fraction form
    148,946/324,102 = 324,102/x
  3. Step 3: Cross multiply
    148,946x = 324,102 × 324,102
  4. Step 4: Simplify right side
    148,946x = 105,042,106,404
  5. Step 5: Solve for x
    x = 105,042,106,404/148,946
  6. Step 6: Final answer
    x = 705,236.17

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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.