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Finding the Third Proportional to 116,200.50 and 253,722

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Solution

The third proportional to 116,200.50 and 253,722 is: 553,998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,200.50 : 253,722 = 253,722 : x
  2. Step 2: Convert to fraction form
    116,200.50/253,722 = 253,722/x
  3. Step 3: Cross multiply
    116,200.50x = 253,722 × 253,722
  4. Step 4: Simplify right side
    116,200.50x = 64,374,853,284
  5. Step 5: Solve for x
    x = 64,374,853,284/116,200.50
  6. Step 6: Final answer
    x = 553,998.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.