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Finding the Third Proportional to 181,696.50 and 254,611.50

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Solution

The third proportional to 181,696.50 and 254,611.50 is: 356,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,696.50 : 254,611.50 = 254,611.50 : x
  2. Step 2: Convert to fraction form
    181,696.50/254,611.50 = 254,611.50/x
  3. Step 3: Cross multiply
    181,696.50x = 254,611.50 × 254,611.50
  4. Step 4: Simplify right side
    181,696.50x = 64,827,015,932.25
  5. Step 5: Solve for x
    x = 64,827,015,932.25/181,696.50
  6. Step 6: Final answer
    x = 356,787.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.