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Finding the Third Proportional to 241,515 and 354,883.50

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Solution

The third proportional to 241,515 and 354,883.50 is: 521,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,515 : 354,883.50 = 354,883.50 : x
  2. Step 2: Convert to fraction form
    241,515/354,883.50 = 354,883.50/x
  3. Step 3: Cross multiply
    241,515x = 354,883.50 × 354,883.50
  4. Step 4: Simplify right side
    241,515x = 125,942,298,572.25
  5. Step 5: Solve for x
    x = 125,942,298,572.25/241,515
  6. Step 6: Final answer
    x = 521,467.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.