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Finding the Third Proportional to 147,836.25 and 231,644.81

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Solution

The third proportional to 147,836.25 and 231,644.81 is: 362,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,836.25 : 231,644.81 = 231,644.81 : x
  2. Step 2: Convert to fraction form
    147,836.25/231,644.81 = 231,644.81/x
  3. Step 3: Cross multiply
    147,836.25x = 231,644.81 × 231,644.81
  4. Step 4: Simplify right side
    147,836.25x = 53,659,319,158.16
  5. Step 5: Solve for x
    x = 53,659,319,158.16/147,836.25
  6. Step 6: Final answer
    x = 362,964.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.