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Finding the Third Proportional to 103,621 and 230,723

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Solution

The third proportional to 103,621 and 230,723 is: 513,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,621 : 230,723 = 230,723 : x
  2. Step 2: Convert to fraction form
    103,621/230,723 = 230,723/x
  3. Step 3: Cross multiply
    103,621x = 230,723 × 230,723
  4. Step 4: Simplify right side
    103,621x = 53,233,102,729
  5. Step 5: Solve for x
    x = 53,233,102,729/103,621
  6. Step 6: Final answer
    x = 513,728.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.