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Finding the Third Proportional to 115,568 and 183,380

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Solution

The third proportional to 115,568 and 183,380 is: 290,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,568 : 183,380 = 183,380 : x
  2. Step 2: Convert to fraction form
    115,568/183,380 = 183,380/x
  3. Step 3: Cross multiply
    115,568x = 183,380 × 183,380
  4. Step 4: Simplify right side
    115,568x = 33,628,224,400
  5. Step 5: Solve for x
    x = 33,628,224,400/115,568
  6. Step 6: Final answer
    x = 290,982.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.