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Finding the Third Proportional to 114,783.75 and 248,400

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Solution

The third proportional to 114,783.75 and 248,400 is: 537,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,783.75 : 248,400 = 248,400 : x
  2. Step 2: Convert to fraction form
    114,783.75/248,400 = 248,400/x
  3. Step 3: Cross multiply
    114,783.75x = 248,400 × 248,400
  4. Step 4: Simplify right side
    114,783.75x = 61,702,560,000
  5. Step 5: Solve for x
    x = 61,702,560,000/114,783.75
  6. Step 6: Final answer
    x = 537,554.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.