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Finding the Third Proportional to 111,340 and 233,621

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Solution

The third proportional to 111,340 and 233,621 is: 490,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,340 : 233,621 = 233,621 : x
  2. Step 2: Convert to fraction form
    111,340/233,621 = 233,621/x
  3. Step 3: Cross multiply
    111,340x = 233,621 × 233,621
  4. Step 4: Simplify right side
    111,340x = 54,578,771,641
  5. Step 5: Solve for x
    x = 54,578,771,641/111,340
  6. Step 6: Final answer
    x = 490,199.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.