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Finding the Third Proportional to 115,200 and 175,194

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Solution

The third proportional to 115,200 and 175,194 is: 266,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200 : 175,194 = 175,194 : x
  2. Step 2: Convert to fraction form
    115,200/175,194 = 175,194/x
  3. Step 3: Cross multiply
    115,200x = 175,194 × 175,194
  4. Step 4: Simplify right side
    115,200x = 30,692,937,636
  5. Step 5: Solve for x
    x = 30,692,937,636/115,200
  6. Step 6: Final answer
    x = 266,431.75

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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.