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Finding the Third Proportional to 193,137.75 and 259,897.50

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Solution

The third proportional to 193,137.75 and 259,897.50 is: 349,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,137.75 : 259,897.50 = 259,897.50 : x
  2. Step 2: Convert to fraction form
    193,137.75/259,897.50 = 259,897.50/x
  3. Step 3: Cross multiply
    193,137.75x = 259,897.50 × 259,897.50
  4. Step 4: Simplify right side
    193,137.75x = 67,546,710,506.25
  5. Step 5: Solve for x
    x = 67,546,710,506.25/193,137.75
  6. Step 6: Final answer
    x = 349,733.34

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