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Finding the Third Proportional to 193,140.75 and 259,902

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Solution

The third proportional to 193,140.75 and 259,902 is: 349,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,140.75 : 259,902 = 259,902 : x
  2. Step 2: Convert to fraction form
    193,140.75/259,902 = 259,902/x
  3. Step 3: Cross multiply
    193,140.75x = 259,902 × 259,902
  4. Step 4: Simplify right side
    193,140.75x = 67,549,049,604
  5. Step 5: Solve for x
    x = 67,549,049,604/193,140.75
  6. Step 6: Final answer
    x = 349,740.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.