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Finding the Third Proportional to 173,826 and 247,947

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Solution

The third proportional to 173,826 and 247,947 is: 353,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,826 : 247,947 = 247,947 : x
  2. Step 2: Convert to fraction form
    173,826/247,947 = 247,947/x
  3. Step 3: Cross multiply
    173,826x = 247,947 × 247,947
  4. Step 4: Simplify right side
    173,826x = 61,477,714,809
  5. Step 5: Solve for x
    x = 61,477,714,809/173,826
  6. Step 6: Final answer
    x = 353,673.87

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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.