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Finding the Third Proportional to 93,744 and 206,250

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Solution

The third proportional to 93,744 and 206,250 is: 453,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,744 : 206,250 = 206,250 : x
  2. Step 2: Convert to fraction form
    93,744/206,250 = 206,250/x
  3. Step 3: Cross multiply
    93,744x = 206,250 × 206,250
  4. Step 4: Simplify right side
    93,744x = 42,539,062,500
  5. Step 5: Solve for x
    x = 42,539,062,500/93,744
  6. Step 6: Final answer
    x = 453,779.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.