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Finding the Third Proportional to 189,063.75 and 292,890.75

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Solution

The third proportional to 189,063.75 and 292,890.75 is: 453,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,063.75 : 292,890.75 = 292,890.75 : x
  2. Step 2: Convert to fraction form
    189,063.75/292,890.75 = 292,890.75/x
  3. Step 3: Cross multiply
    189,063.75x = 292,890.75 × 292,890.75
  4. Step 4: Simplify right side
    189,063.75x = 85,784,991,435.56
  5. Step 5: Solve for x
    x = 85,784,991,435.56/189,063.75
  6. Step 6: Final answer
    x = 453,735.80

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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.