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Finding the Third Proportional to 173,925 and 248,049

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Solution

The third proportional to 173,925 and 248,049 is: 353,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,925 : 248,049 = 248,049 : x
  2. Step 2: Convert to fraction form
    173,925/248,049 = 248,049/x
  3. Step 3: Cross multiply
    173,925x = 248,049 × 248,049
  4. Step 4: Simplify right side
    173,925x = 61,528,306,401
  5. Step 5: Solve for x
    x = 61,528,306,401/173,925
  6. Step 6: Final answer
    x = 353,763.44

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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.