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Finding the Third Proportional to 118,989 and 259,682.63

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Solution

The third proportional to 118,989 and 259,682.63 is: 566,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,989 : 259,682.63 = 259,682.63 : x
  2. Step 2: Convert to fraction form
    118,989/259,682.63 = 259,682.63/x
  3. Step 3: Cross multiply
    118,989x = 259,682.63 × 259,682.63
  4. Step 4: Simplify right side
    118,989x = 67,435,065,726.89
  5. Step 5: Solve for x
    x = 67,435,065,726.89/118,989
  6. Step 6: Final answer
    x = 566,733.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.