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Finding the Third Proportional to 173,824 and 247,944

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Solution

The third proportional to 173,824 and 247,944 is: 353,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,824 : 247,944 = 247,944 : x
  2. Step 2: Convert to fraction form
    173,824/247,944 = 247,944/x
  3. Step 3: Cross multiply
    173,824x = 247,944 × 247,944
  4. Step 4: Simplify right side
    173,824x = 61,476,227,136
  5. Step 5: Solve for x
    x = 61,476,227,136/173,824
  6. Step 6: Final answer
    x = 353,669.38

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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.