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Finding the Third Proportional to 154,122 and 241,832

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Solution

The third proportional to 154,122 and 241,832 is: 379,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,122 : 241,832 = 241,832 : x
  2. Step 2: Convert to fraction form
    154,122/241,832 = 241,832/x
  3. Step 3: Cross multiply
    154,122x = 241,832 × 241,832
  4. Step 4: Simplify right side
    154,122x = 58,482,716,224
  5. Step 5: Solve for x
    x = 58,482,716,224/154,122
  6. Step 6: Final answer
    x = 379,457.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.