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Finding the Third Proportional to 104,012 and 245,288

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Solution

The third proportional to 104,012 and 245,288 is: 578,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,012 : 245,288 = 245,288 : x
  2. Step 2: Convert to fraction form
    104,012/245,288 = 245,288/x
  3. Step 3: Cross multiply
    104,012x = 245,288 × 245,288
  4. Step 4: Simplify right side
    104,012x = 60,166,202,944
  5. Step 5: Solve for x
    x = 60,166,202,944/104,012
  6. Step 6: Final answer
    x = 578,454.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.