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Finding the Third Proportional to 248,541.75 and 380,040.19

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Solution

The third proportional to 248,541.75 and 380,040.19 is: 581,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,541.75 : 380,040.19 = 380,040.19 : x
  2. Step 2: Convert to fraction form
    248,541.75/380,040.19 = 380,040.19/x
  3. Step 3: Cross multiply
    248,541.75x = 380,040.19 × 380,040.19
  4. Step 4: Simplify right side
    248,541.75x = 144,430,544,115.04
  5. Step 5: Solve for x
    x = 144,430,544,115.04/248,541.75
  6. Step 6: Final answer
    x = 581,111.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.