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Finding the Third Proportional to 189,416.50 and 287,580.75

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Solution

The third proportional to 189,416.50 and 287,580.75 is: 436,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,416.50 : 287,580.75 = 287,580.75 : x
  2. Step 2: Convert to fraction form
    189,416.50/287,580.75 = 287,580.75/x
  3. Step 3: Cross multiply
    189,416.50x = 287,580.75 × 287,580.75
  4. Step 4: Simplify right side
    189,416.50x = 82,702,687,770.56
  5. Step 5: Solve for x
    x = 82,702,687,770.56/189,416.50
  6. Step 6: Final answer
    x = 436,618.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.