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Finding the Third Proportional to 160,230 and 370,923

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Solution

The third proportional to 160,230 and 370,923 is: 858,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,230 : 370,923 = 370,923 : x
  2. Step 2: Convert to fraction form
    160,230/370,923 = 370,923/x
  3. Step 3: Cross multiply
    160,230x = 370,923 × 370,923
  4. Step 4: Simplify right side
    160,230x = 137,583,871,929
  5. Step 5: Solve for x
    x = 137,583,871,929/160,230
  6. Step 6: Final answer
    x = 858,664.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.