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Finding the Third Proportional to 233,743.22 and 362,643.33

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Solution

The third proportional to 233,743.22 and 362,643.33 is: 562,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,743.22 : 362,643.33 = 362,643.33 : x
  2. Step 2: Convert to fraction form
    233,743.22/362,643.33 = 362,643.33/x
  3. Step 3: Cross multiply
    233,743.22x = 362,643.33 × 362,643.33
  4. Step 4: Simplify right side
    233,743.22x = 131,510,183,433.58
  5. Step 5: Solve for x
    x = 131,510,183,433.58/233,743.22
  6. Step 6: Final answer
    x = 562,626.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.