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Finding the Third Proportional to 88,240 and 194,912

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Solution

The third proportional to 88,240 and 194,912 is: 430,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,240 : 194,912 = 194,912 : x
  2. Step 2: Convert to fraction form
    88,240/194,912 = 194,912/x
  3. Step 3: Cross multiply
    88,240x = 194,912 × 194,912
  4. Step 4: Simplify right side
    88,240x = 37,990,687,744
  5. Step 5: Solve for x
    x = 37,990,687,744/88,240
  6. Step 6: Final answer
    x = 430,538.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.