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Finding the Third Proportional to 173,868 and 248,164

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Solution

The third proportional to 173,868 and 248,164 is: 354,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,868 : 248,164 = 248,164 : x
  2. Step 2: Convert to fraction form
    173,868/248,164 = 248,164/x
  3. Step 3: Cross multiply
    173,868x = 248,164 × 248,164
  4. Step 4: Simplify right side
    173,868x = 61,585,370,896
  5. Step 5: Solve for x
    x = 61,585,370,896/173,868
  6. Step 6: Final answer
    x = 354,207.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.