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Finding the Third Proportional to 173,852 and 263,216

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Solution

The third proportional to 173,852 and 263,216 is: 398,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,852 : 263,216 = 263,216 : x
  2. Step 2: Convert to fraction form
    173,852/263,216 = 263,216/x
  3. Step 3: Cross multiply
    173,852x = 263,216 × 263,216
  4. Step 4: Simplify right side
    173,852x = 69,282,662,656
  5. Step 5: Solve for x
    x = 69,282,662,656/173,852
  6. Step 6: Final answer
    x = 398,515.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.