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Finding the Third Proportional to 95,690 and 223,504

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Solution

The third proportional to 95,690 and 223,504 is: 522,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,690 : 223,504 = 223,504 : x
  2. Step 2: Convert to fraction form
    95,690/223,504 = 223,504/x
  3. Step 3: Cross multiply
    95,690x = 223,504 × 223,504
  4. Step 4: Simplify right side
    95,690x = 49,954,038,016
  5. Step 5: Solve for x
    x = 49,954,038,016/95,690
  6. Step 6: Final answer
    x = 522,040.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.