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Finding the Third Proportional to 104,084 and 245,623

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Solution

The third proportional to 104,084 and 245,623 is: 579,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,084 : 245,623 = 245,623 : x
  2. Step 2: Convert to fraction form
    104,084/245,623 = 245,623/x
  3. Step 3: Cross multiply
    104,084x = 245,623 × 245,623
  4. Step 4: Simplify right side
    104,084x = 60,330,658,129
  5. Step 5: Solve for x
    x = 60,330,658,129/104,084
  6. Step 6: Final answer
    x = 579,634.32

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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.