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Finding the Third Proportional to 189,900.50 and 293,948.75

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Solution

The third proportional to 189,900.50 and 293,948.75 is: 455,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,900.50 : 293,948.75 = 293,948.75 : x
  2. Step 2: Convert to fraction form
    189,900.50/293,948.75 = 293,948.75/x
  3. Step 3: Cross multiply
    189,900.50x = 293,948.75 × 293,948.75
  4. Step 4: Simplify right side
    189,900.50x = 86,405,867,626.56
  5. Step 5: Solve for x
    x = 86,405,867,626.56/189,900.50
  6. Step 6: Final answer
    x = 455,006.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.