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Finding the Third Proportional to 114,288.75 and 247,646.25

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Solution

The third proportional to 114,288.75 and 247,646.25 is: 536,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,288.75 : 247,646.25 = 247,646.25 : x
  2. Step 2: Convert to fraction form
    114,288.75/247,646.25 = 247,646.25/x
  3. Step 3: Cross multiply
    114,288.75x = 247,646.25 × 247,646.25
  4. Step 4: Simplify right side
    114,288.75x = 61,328,665,139.06
  5. Step 5: Solve for x
    x = 61,328,665,139.06/114,288.75
  6. Step 6: Final answer
    x = 536,611.57

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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.