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Finding the Third Proportional to 104,278 and 227,678

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Solution

The third proportional to 104,278 and 227,678 is: 497,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,278 : 227,678 = 227,678 : x
  2. Step 2: Convert to fraction form
    104,278/227,678 = 227,678/x
  3. Step 3: Cross multiply
    104,278x = 227,678 × 227,678
  4. Step 4: Simplify right side
    104,278x = 51,837,271,684
  5. Step 5: Solve for x
    x = 51,837,271,684/104,278
  6. Step 6: Final answer
    x = 497,106.50

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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.