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Finding the Third Proportional to 190,100 and 296,054

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Solution

The third proportional to 190,100 and 296,054 is: 461,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,100 : 296,054 = 296,054 : x
  2. Step 2: Convert to fraction form
    190,100/296,054 = 296,054/x
  3. Step 3: Cross multiply
    190,100x = 296,054 × 296,054
  4. Step 4: Simplify right side
    190,100x = 87,647,970,916
  5. Step 5: Solve for x
    x = 87,647,970,916/190,100
  6. Step 6: Final answer
    x = 461,062.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.