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Finding the Third Proportional to 115,884 and 165,298

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Solution

The third proportional to 115,884 and 165,298 is: 235,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,884 : 165,298 = 165,298 : x
  2. Step 2: Convert to fraction form
    115,884/165,298 = 165,298/x
  3. Step 3: Cross multiply
    115,884x = 165,298 × 165,298
  4. Step 4: Simplify right side
    115,884x = 27,323,428,804
  5. Step 5: Solve for x
    x = 27,323,428,804/115,884
  6. Step 6: Final answer
    x = 235,782.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.