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Finding the Third Proportional to 182,655.50 and 286,604.75

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Solution

The third proportional to 182,655.50 and 286,604.75 is: 449,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,655.50 : 286,604.75 = 286,604.75 : x
  2. Step 2: Convert to fraction form
    182,655.50/286,604.75 = 286,604.75/x
  3. Step 3: Cross multiply
    182,655.50x = 286,604.75 × 286,604.75
  4. Step 4: Simplify right side
    182,655.50x = 82,142,282,722.56
  5. Step 5: Solve for x
    x = 82,142,282,722.56/182,655.50
  6. Step 6: Final answer
    x = 449,711.52

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.