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Finding the Third Proportional to 76,384.50 and 180,601.50

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Solution

The third proportional to 76,384.50 and 180,601.50 is: 427,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384.50 : 180,601.50 = 180,601.50 : x
  2. Step 2: Convert to fraction form
    76,384.50/180,601.50 = 180,601.50/x
  3. Step 3: Cross multiply
    76,384.50x = 180,601.50 × 180,601.50
  4. Step 4: Simplify right side
    76,384.50x = 32,616,901,802.25
  5. Step 5: Solve for x
    x = 32,616,901,802.25/76,384.50
  6. Step 6: Final answer
    x = 427,009.43

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.