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Finding the Third Proportional to 192,051 and 254,846.25

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Solution

The third proportional to 192,051 and 254,846.25 is: 338,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,051 : 254,846.25 = 254,846.25 : x
  2. Step 2: Convert to fraction form
    192,051/254,846.25 = 254,846.25/x
  3. Step 3: Cross multiply
    192,051x = 254,846.25 × 254,846.25
  4. Step 4: Simplify right side
    192,051x = 64,946,611,139.06
  5. Step 5: Solve for x
    x = 64,946,611,139.06/192,051
  6. Step 6: Final answer
    x = 338,173.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.