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Finding the Third Proportional to 107,880 and 234,582

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Solution

The third proportional to 107,880 and 234,582 is: 510,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,880 : 234,582 = 234,582 : x
  2. Step 2: Convert to fraction form
    107,880/234,582 = 234,582/x
  3. Step 3: Cross multiply
    107,880x = 234,582 × 234,582
  4. Step 4: Simplify right side
    107,880x = 55,028,714,724
  5. Step 5: Solve for x
    x = 55,028,714,724/107,880
  6. Step 6: Final answer
    x = 510,091.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.