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Finding the Third Proportional to 166,443.75 and 359,491.50

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Solution

The third proportional to 166,443.75 and 359,491.50 is: 776,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,443.75 : 359,491.50 = 359,491.50 : x
  2. Step 2: Convert to fraction form
    166,443.75/359,491.50 = 359,491.50/x
  3. Step 3: Cross multiply
    166,443.75x = 359,491.50 × 359,491.50
  4. Step 4: Simplify right side
    166,443.75x = 129,234,138,572.25
  5. Step 5: Solve for x
    x = 129,234,138,572.25/166,443.75
  6. Step 6: Final answer
    x = 776,443.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.