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Finding the Third Proportional to 158,145.75 and 334,631.25

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Solution

The third proportional to 158,145.75 and 334,631.25 is: 708,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,145.75 : 334,631.25 = 334,631.25 : x
  2. Step 2: Convert to fraction form
    158,145.75/334,631.25 = 334,631.25/x
  3. Step 3: Cross multiply
    158,145.75x = 334,631.25 × 334,631.25
  4. Step 4: Simplify right side
    158,145.75x = 111,978,073,476.56
  5. Step 5: Solve for x
    x = 111,978,073,476.56/158,145.75
  6. Step 6: Final answer
    x = 708,068.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.