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Finding the Third Proportional to 147,903.75 and 323,793.75

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Solution

The third proportional to 147,903.75 and 323,793.75 is: 708,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,903.75 : 323,793.75 = 323,793.75 : x
  2. Step 2: Convert to fraction form
    147,903.75/323,793.75 = 323,793.75/x
  3. Step 3: Cross multiply
    147,903.75x = 323,793.75 × 323,793.75
  4. Step 4: Simplify right side
    147,903.75x = 104,842,392,539.06
  5. Step 5: Solve for x
    x = 104,842,392,539.06/147,903.75
  6. Step 6: Final answer
    x = 708,855.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.