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Finding the Third Proportional to 160,986 and 255,288

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Solution

The third proportional to 160,986 and 255,288 is: 404,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,986 : 255,288 = 255,288 : x
  2. Step 2: Convert to fraction form
    160,986/255,288 = 255,288/x
  3. Step 3: Cross multiply
    160,986x = 255,288 × 255,288
  4. Step 4: Simplify right side
    160,986x = 65,171,962,944
  5. Step 5: Solve for x
    x = 65,171,962,944/160,986
  6. Step 6: Final answer
    x = 404,830.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.