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Finding the Third Proportional to 195,739.50 and 293,518.50

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Solution

The third proportional to 195,739.50 and 293,518.50 is: 440,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,739.50 : 293,518.50 = 293,518.50 : x
  2. Step 2: Convert to fraction form
    195,739.50/293,518.50 = 293,518.50/x
  3. Step 3: Cross multiply
    195,739.50x = 293,518.50 × 293,518.50
  4. Step 4: Simplify right side
    195,739.50x = 86,153,109,842.25
  5. Step 5: Solve for x
    x = 86,153,109,842.25/195,739.50
  6. Step 6: Final answer
    x = 440,141.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.