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Finding the Third Proportional to 241,143 and 515,500.50

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Solution

The third proportional to 241,143 and 515,500.50 is: 1,102,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,143 : 515,500.50 = 515,500.50 : x
  2. Step 2: Convert to fraction form
    241,143/515,500.50 = 515,500.50/x
  3. Step 3: Cross multiply
    241,143x = 515,500.50 × 515,500.50
  4. Step 4: Simplify right side
    241,143x = 265,740,765,500.25
  5. Step 5: Solve for x
    x = 265,740,765,500.25/241,143
  6. Step 6: Final answer
    x = 1,102,004.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.