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Finding the Third Proportional to 241,900.50 and 384,303

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Solution

The third proportional to 241,900.50 and 384,303 is: 610,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,900.50 : 384,303 = 384,303 : x
  2. Step 2: Convert to fraction form
    241,900.50/384,303 = 384,303/x
  3. Step 3: Cross multiply
    241,900.50x = 384,303 × 384,303
  4. Step 4: Simplify right side
    241,900.50x = 147,688,795,809
  5. Step 5: Solve for x
    x = 147,688,795,809/241,900.50
  6. Step 6: Final answer
    x = 610,535.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.