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Finding the Third Proportional to 102,819 and 238,003

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Solution

The third proportional to 102,819 and 238,003 is: 550,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,819 : 238,003 = 238,003 : x
  2. Step 2: Convert to fraction form
    102,819/238,003 = 238,003/x
  3. Step 3: Cross multiply
    102,819x = 238,003 × 238,003
  4. Step 4: Simplify right side
    102,819x = 56,645,428,009
  5. Step 5: Solve for x
    x = 56,645,428,009/102,819
  6. Step 6: Final answer
    x = 550,923.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.