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Finding the Third Proportional to 160,977 and 254,843.75

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Solution

The third proportional to 160,977 and 254,843.75 is: 403,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,977 : 254,843.75 = 254,843.75 : x
  2. Step 2: Convert to fraction form
    160,977/254,843.75 = 254,843.75/x
  3. Step 3: Cross multiply
    160,977x = 254,843.75 × 254,843.75
  4. Step 4: Simplify right side
    160,977x = 64,945,336,914.06
  5. Step 5: Solve for x
    x = 64,945,336,914.06/160,977
  6. Step 6: Final answer
    x = 403,444.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.