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Finding the Third Proportional to 104,016 and 245,298

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Solution

The third proportional to 104,016 and 245,298 is: 578,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,016 : 245,298 = 245,298 : x
  2. Step 2: Convert to fraction form
    104,016/245,298 = 245,298/x
  3. Step 3: Cross multiply
    104,016x = 245,298 × 245,298
  4. Step 4: Simplify right side
    104,016x = 60,171,108,804
  5. Step 5: Solve for x
    x = 60,171,108,804/104,016
  6. Step 6: Final answer
    x = 578,479.36

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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.