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Finding the Third Proportional to 248,141.81 and 543,543.75

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Solution

The third proportional to 248,141.81 and 543,543.75 is: 1,190,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,141.81 : 543,543.75 = 543,543.75 : x
  2. Step 2: Convert to fraction form
    248,141.81/543,543.75 = 543,543.75/x
  3. Step 3: Cross multiply
    248,141.81x = 543,543.75 × 543,543.75
  4. Step 4: Simplify right side
    248,141.81x = 295,439,808,164.06
  5. Step 5: Solve for x
    x = 295,439,808,164.06/248,141.81
  6. Step 6: Final answer
    x = 1,190,608.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.