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Finding the Third Proportional to 195,019.88 and 291,254.06

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Solution

The third proportional to 195,019.88 and 291,254.06 is: 434,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,019.88 : 291,254.06 = 291,254.06 : x
  2. Step 2: Convert to fraction form
    195,019.88/291,254.06 = 291,254.06/x
  3. Step 3: Cross multiply
    195,019.88x = 291,254.06 × 291,254.06
  4. Step 4: Simplify right side
    195,019.88x = 84,828,928,922.75
  5. Step 5: Solve for x
    x = 84,828,928,922.75/195,019.88
  6. Step 6: Final answer
    x = 434,975.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.