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Finding the Third Proportional to 98,233.88 and 160,575.75

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Solution

The third proportional to 98,233.88 and 160,575.75 is: 262,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,233.88 : 160,575.75 = 160,575.75 : x
  2. Step 2: Convert to fraction form
    98,233.88/160,575.75 = 160,575.75/x
  3. Step 3: Cross multiply
    98,233.88x = 160,575.75 × 160,575.75
  4. Step 4: Simplify right side
    98,233.88x = 25,784,571,488.06
  5. Step 5: Solve for x
    x = 25,784,571,488.06/98,233.88
  6. Step 6: Final answer
    x = 262,481.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.