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Finding the Third Proportional to 102,820.50 and 238,006.75

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Solution

The third proportional to 102,820.50 and 238,006.75 is: 550,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,820.50 : 238,006.75 = 238,006.75 : x
  2. Step 2: Convert to fraction form
    102,820.50/238,006.75 = 238,006.75/x
  3. Step 3: Cross multiply
    102,820.50x = 238,006.75 × 238,006.75
  4. Step 4: Simplify right side
    102,820.50x = 56,647,213,045.56
  5. Step 5: Solve for x
    x = 56,647,213,045.56/102,820.50
  6. Step 6: Final answer
    x = 550,933.06

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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.