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Finding the Third Proportional to 176,575.50 and 384,675

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Solution

The third proportional to 176,575.50 and 384,675 is: 838,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,575.50 : 384,675 = 384,675 : x
  2. Step 2: Convert to fraction form
    176,575.50/384,675 = 384,675/x
  3. Step 3: Cross multiply
    176,575.50x = 384,675 × 384,675
  4. Step 4: Simplify right side
    176,575.50x = 147,974,855,625
  5. Step 5: Solve for x
    x = 147,974,855,625/176,575.50
  6. Step 6: Final answer
    x = 838,025.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.