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Finding the Third Proportional to 218,094 and 328,232.25

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Solution

The third proportional to 218,094 and 328,232.25 is: 493,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,094 : 328,232.25 = 328,232.25 : x
  2. Step 2: Convert to fraction form
    218,094/328,232.25 = 328,232.25/x
  3. Step 3: Cross multiply
    218,094x = 328,232.25 × 328,232.25
  4. Step 4: Simplify right side
    218,094x = 107,736,409,940.06
  5. Step 5: Solve for x
    x = 107,736,409,940.06/218,094
  6. Step 6: Final answer
    x = 493,990.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.