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Finding the Third Proportional to 103,670 and 223,900

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Solution

The third proportional to 103,670 and 223,900 is: 483,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670 : 223,900 = 223,900 : x
  2. Step 2: Convert to fraction form
    103,670/223,900 = 223,900/x
  3. Step 3: Cross multiply
    103,670x = 223,900 × 223,900
  4. Step 4: Simplify right side
    103,670x = 50,131,210,000
  5. Step 5: Solve for x
    x = 50,131,210,000/103,670
  6. Step 6: Final answer
    x = 483,565.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.