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Finding the Third Proportional to 998.16 and 1,852.45

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Solution

The third proportional to 998.16 and 1,852.45 is: 3,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.16 : 1,852.45 = 1,852.45 : x
  2. Step 2: Convert to fraction form
    998.16/1,852.45 = 1,852.45/x
  3. Step 3: Cross multiply
    998.16x = 1,852.45 × 1,852.45
  4. Step 4: Simplify right side
    998.16x = 3,431,582.58
  5. Step 5: Solve for x
    x = 3,431,582.58/998.16
  6. Step 6: Final answer
    x = 3,437.92

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.