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Finding the Third Proportional to 241,889 and 515,858.50

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Solution

The third proportional to 241,889 and 515,858.50 is: 1,100,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,889 : 515,858.50 = 515,858.50 : x
  2. Step 2: Convert to fraction form
    241,889/515,858.50 = 515,858.50/x
  3. Step 3: Cross multiply
    241,889x = 515,858.50 × 515,858.50
  4. Step 4: Simplify right side
    241,889x = 266,109,992,022.25
  5. Step 5: Solve for x
    x = 266,109,992,022.25/241,889
  6. Step 6: Final answer
    x = 1,100,132.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.