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Finding the Third Proportional to 114,237 and 247,540.50

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Solution

The third proportional to 114,237 and 247,540.50 is: 536,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,237 : 247,540.50 = 247,540.50 : x
  2. Step 2: Convert to fraction form
    114,237/247,540.50 = 247,540.50/x
  3. Step 3: Cross multiply
    114,237x = 247,540.50 × 247,540.50
  4. Step 4: Simplify right side
    114,237x = 61,276,299,140.25
  5. Step 5: Solve for x
    x = 61,276,299,140.25/114,237
  6. Step 6: Final answer
    x = 536,396.26

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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.