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Finding the Third Proportional to 114,267 and 247,600.50

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Solution

The third proportional to 114,267 and 247,600.50 is: 536,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,267 : 247,600.50 = 247,600.50 : x
  2. Step 2: Convert to fraction form
    114,267/247,600.50 = 247,600.50/x
  3. Step 3: Cross multiply
    114,267x = 247,600.50 × 247,600.50
  4. Step 4: Simplify right side
    114,267x = 61,306,007,600.25
  5. Step 5: Solve for x
    x = 61,306,007,600.25/114,267
  6. Step 6: Final answer
    x = 536,515.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.