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Finding the Third Proportional to 195,193.13 and 295,260.19

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Solution

The third proportional to 195,193.13 and 295,260.19 is: 446,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,193.13 : 295,260.19 = 295,260.19 : x
  2. Step 2: Convert to fraction form
    195,193.13/295,260.19 = 295,260.19/x
  3. Step 3: Cross multiply
    195,193.13x = 295,260.19 × 295,260.19
  4. Step 4: Simplify right side
    195,193.13x = 87,178,578,322.54
  5. Step 5: Solve for x
    x = 87,178,578,322.54/195,193.13
  6. Step 6: Final answer
    x = 446,627.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.