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Finding the Third Proportional to 104,612 and 230,338

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Solution

The third proportional to 104,612 and 230,338 is: 507,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,612 : 230,338 = 230,338 : x
  2. Step 2: Convert to fraction form
    104,612/230,338 = 230,338/x
  3. Step 3: Cross multiply
    104,612x = 230,338 × 230,338
  4. Step 4: Simplify right side
    104,612x = 53,055,594,244
  5. Step 5: Solve for x
    x = 53,055,594,244/104,612
  6. Step 6: Final answer
    x = 507,165.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.