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Finding the Third Proportional to 138,009.75 and 295,693.50

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Solution

The third proportional to 138,009.75 and 295,693.50 is: 633,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,009.75 : 295,693.50 = 295,693.50 : x
  2. Step 2: Convert to fraction form
    138,009.75/295,693.50 = 295,693.50/x
  3. Step 3: Cross multiply
    138,009.75x = 295,693.50 × 295,693.50
  4. Step 4: Simplify right side
    138,009.75x = 87,434,645,942.25
  5. Step 5: Solve for x
    x = 87,434,645,942.25/138,009.75
  6. Step 6: Final answer
    x = 633,539.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.