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Finding the Third Proportional to 104,303 and 227,833

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Solution

The third proportional to 104,303 and 227,833 is: 497,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,303 : 227,833 = 227,833 : x
  2. Step 2: Convert to fraction form
    104,303/227,833 = 227,833/x
  3. Step 3: Cross multiply
    104,303x = 227,833 × 227,833
  4. Step 4: Simplify right side
    104,303x = 51,907,875,889
  5. Step 5: Solve for x
    x = 51,907,875,889/104,303
  6. Step 6: Final answer
    x = 497,664.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.