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Finding the Third Proportional to 193,128 and 399,619.50

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Solution

The third proportional to 193,128 and 399,619.50 is: 826,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,128 : 399,619.50 = 399,619.50 : x
  2. Step 2: Convert to fraction form
    193,128/399,619.50 = 399,619.50/x
  3. Step 3: Cross multiply
    193,128x = 399,619.50 × 399,619.50
  4. Step 4: Simplify right side
    193,128x = 159,695,744,780.25
  5. Step 5: Solve for x
    x = 159,695,744,780.25/193,128
  6. Step 6: Final answer
    x = 826,890.69

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.