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Finding the Third Proportional to 149,016 and 324,312

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Solution

The third proportional to 149,016 and 324,312 is: 705,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,016 : 324,312 = 324,312 : x
  2. Step 2: Convert to fraction form
    149,016/324,312 = 324,312/x
  3. Step 3: Cross multiply
    149,016x = 324,312 × 324,312
  4. Step 4: Simplify right side
    149,016x = 105,178,273,344
  5. Step 5: Solve for x
    x = 105,178,273,344/149,016
  6. Step 6: Final answer
    x = 705,818.66

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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.