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Finding the Third Proportional to 195,933 and 293,140

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Solution

The third proportional to 195,933 and 293,140 is: 438,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,933 : 293,140 = 293,140 : x
  2. Step 2: Convert to fraction form
    195,933/293,140 = 293,140/x
  3. Step 3: Cross multiply
    195,933x = 293,140 × 293,140
  4. Step 4: Simplify right side
    195,933x = 85,931,059,600
  5. Step 5: Solve for x
    x = 85,931,059,600/195,933
  6. Step 6: Final answer
    x = 438,573.69

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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.