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Finding the Third Proportional to 102,039.75 and 238,278.75

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Solution

The third proportional to 102,039.75 and 238,278.75 is: 556,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039.75 : 238,278.75 = 238,278.75 : x
  2. Step 2: Convert to fraction form
    102,039.75/238,278.75 = 238,278.75/x
  3. Step 3: Cross multiply
    102,039.75x = 238,278.75 × 238,278.75
  4. Step 4: Simplify right side
    102,039.75x = 56,776,762,701.56
  5. Step 5: Solve for x
    x = 56,776,762,701.56/102,039.75
  6. Step 6: Final answer
    x = 556,418.09

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