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Finding the Third Proportional to 202,177 and 299,323

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Solution

The third proportional to 202,177 and 299,323 is: 443,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,177 : 299,323 = 299,323 : x
  2. Step 2: Convert to fraction form
    202,177/299,323 = 299,323/x
  3. Step 3: Cross multiply
    202,177x = 299,323 × 299,323
  4. Step 4: Simplify right side
    202,177x = 89,594,258,329
  5. Step 5: Solve for x
    x = 89,594,258,329/202,177
  6. Step 6: Final answer
    x = 443,147.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.