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Finding the Third Proportional to 114,109.75 and 243,485.25

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Solution

The third proportional to 114,109.75 and 243,485.25 is: 519,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,109.75 : 243,485.25 = 243,485.25 : x
  2. Step 2: Convert to fraction form
    114,109.75/243,485.25 = 243,485.25/x
  3. Step 3: Cross multiply
    114,109.75x = 243,485.25 × 243,485.25
  4. Step 4: Simplify right side
    114,109.75x = 59,285,066,967.56
  5. Step 5: Solve for x
    x = 59,285,066,967.56/114,109.75
  6. Step 6: Final answer
    x = 519,544.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.