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Finding the Third Proportional to 193,476.75 and 293,136

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Solution

The third proportional to 193,476.75 and 293,136 is: 444,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,476.75 : 293,136 = 293,136 : x
  2. Step 2: Convert to fraction form
    193,476.75/293,136 = 293,136/x
  3. Step 3: Cross multiply
    193,476.75x = 293,136 × 293,136
  4. Step 4: Simplify right side
    193,476.75x = 85,928,714,496
  5. Step 5: Solve for x
    x = 85,928,714,496/193,476.75
  6. Step 6: Final answer
    x = 444,129.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.