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Finding the Third Proportional to 121,176 and 262,224

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Solution

The third proportional to 121,176 and 262,224 is: 567,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,176 : 262,224 = 262,224 : x
  2. Step 2: Convert to fraction form
    121,176/262,224 = 262,224/x
  3. Step 3: Cross multiply
    121,176x = 262,224 × 262,224
  4. Step 4: Simplify right side
    121,176x = 68,761,426,176
  5. Step 5: Solve for x
    x = 68,761,426,176/121,176
  6. Step 6: Final answer
    x = 567,450.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.