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Finding the Third Proportional to 111,237.68 and 230,361.15

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Solution

The third proportional to 111,237.68 and 230,361.15 is: 477,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,237.68 : 230,361.15 = 230,361.15 : x
  2. Step 2: Convert to fraction form
    111,237.68/230,361.15 = 230,361.15/x
  3. Step 3: Cross multiply
    111,237.68x = 230,361.15 × 230,361.15
  4. Step 4: Simplify right side
    111,237.68x = 53,066,260,509.14
  5. Step 5: Solve for x
    x = 53,066,260,509.14/111,237.68
  6. Step 6: Final answer
    x = 477,052.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.