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Finding the Third Proportional to 193,169.63 and 295,495.88

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Solution

The third proportional to 193,169.63 and 295,495.88 is: 452,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,169.63 : 295,495.88 = 295,495.88 : x
  2. Step 2: Convert to fraction form
    193,169.63/295,495.88 = 295,495.88/x
  3. Step 3: Cross multiply
    193,169.63x = 295,495.88 × 295,495.88
  4. Step 4: Simplify right side
    193,169.63x = 87,317,812,142.02
  5. Step 5: Solve for x
    x = 87,317,812,142.02/193,169.63
  6. Step 6: Final answer
    x = 452,026.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.