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Finding the Third Proportional to 193,140 and 259,900

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Solution

The third proportional to 193,140 and 259,900 is: 349,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,140 : 259,900 = 259,900 : x
  2. Step 2: Convert to fraction form
    193,140/259,900 = 259,900/x
  3. Step 3: Cross multiply
    193,140x = 259,900 × 259,900
  4. Step 4: Simplify right side
    193,140x = 67,548,010,000
  5. Step 5: Solve for x
    x = 67,548,010,000/193,140
  6. Step 6: Final answer
    x = 349,735.99

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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.