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Finding the Third Proportional to 115,570 and 183,383

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Solution

The third proportional to 115,570 and 183,383 is: 290,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,570 : 183,383 = 183,383 : x
  2. Step 2: Convert to fraction form
    115,570/183,383 = 183,383/x
  3. Step 3: Cross multiply
    115,570x = 183,383 × 183,383
  4. Step 4: Simplify right side
    115,570x = 33,629,324,689
  5. Step 5: Solve for x
    x = 33,629,324,689/115,570
  6. Step 6: Final answer
    x = 290,986.63

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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.