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Finding the Third Proportional to 110,880 and 237,636

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Solution

The third proportional to 110,880 and 237,636 is: 509,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,880 : 237,636 = 237,636 : x
  2. Step 2: Convert to fraction form
    110,880/237,636 = 237,636/x
  3. Step 3: Cross multiply
    110,880x = 237,636 × 237,636
  4. Step 4: Simplify right side
    110,880x = 56,470,868,496
  5. Step 5: Solve for x
    x = 56,470,868,496/110,880
  6. Step 6: Final answer
    x = 509,297.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.