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Finding the Third Proportional to 160,540 and 248,923

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Solution

The third proportional to 160,540 and 248,923 is: 385,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,540 : 248,923 = 248,923 : x
  2. Step 2: Convert to fraction form
    160,540/248,923 = 248,923/x
  3. Step 3: Cross multiply
    160,540x = 248,923 × 248,923
  4. Step 4: Simplify right side
    160,540x = 61,962,659,929
  5. Step 5: Solve for x
    x = 61,962,659,929/160,540
  6. Step 6: Final answer
    x = 385,964.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.