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Finding the Third Proportional to 104,078 and 245,609

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Solution

The third proportional to 104,078 and 245,609 is: 579,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,078 : 245,609 = 245,609 : x
  2. Step 2: Convert to fraction form
    104,078/245,609 = 245,609/x
  3. Step 3: Cross multiply
    104,078x = 245,609 × 245,609
  4. Step 4: Simplify right side
    104,078x = 60,323,780,881
  5. Step 5: Solve for x
    x = 60,323,780,881/104,078
  6. Step 6: Final answer
    x = 579,601.65

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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.