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Finding the Third Proportional to 193,235.55 and 254,104.20

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Solution

The third proportional to 193,235.55 and 254,104.20 is: 334,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,235.55 : 254,104.20 = 254,104.20 : x
  2. Step 2: Convert to fraction form
    193,235.55/254,104.20 = 254,104.20/x
  3. Step 3: Cross multiply
    193,235.55x = 254,104.20 × 254,104.20
  4. Step 4: Simplify right side
    193,235.55x = 64,568,943,564.31
  5. Step 5: Solve for x
    x = 64,568,943,564.31/193,235.55
  6. Step 6: Final answer
    x = 334,146.30

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.