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Finding the Third Proportional to 102,039 and 238,278

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Solution

The third proportional to 102,039 and 238,278 is: 556,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039 : 238,278 = 238,278 : x
  2. Step 2: Convert to fraction form
    102,039/238,278 = 238,278/x
  3. Step 3: Cross multiply
    102,039x = 238,278 × 238,278
  4. Step 4: Simplify right side
    102,039x = 56,776,405,284
  5. Step 5: Solve for x
    x = 56,776,405,284/102,039
  6. Step 6: Final answer
    x = 556,418.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.