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Finding the Third Proportional to 221,659.50 and 334,131

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Solution

The third proportional to 221,659.50 and 334,131 is: 503,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,659.50 : 334,131 = 334,131 : x
  2. Step 2: Convert to fraction form
    221,659.50/334,131 = 334,131/x
  3. Step 3: Cross multiply
    221,659.50x = 334,131 × 334,131
  4. Step 4: Simplify right side
    221,659.50x = 111,643,525,161
  5. Step 5: Solve for x
    x = 111,643,525,161/221,659.50
  6. Step 6: Final answer
    x = 503,671.28

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