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Finding the Third Proportional to 178,435.50 and 262,722

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Solution

The third proportional to 178,435.50 and 262,722 is: 386,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,435.50 : 262,722 = 262,722 : x
  2. Step 2: Convert to fraction form
    178,435.50/262,722 = 262,722/x
  3. Step 3: Cross multiply
    178,435.50x = 262,722 × 262,722
  4. Step 4: Simplify right side
    178,435.50x = 69,022,849,284
  5. Step 5: Solve for x
    x = 69,022,849,284/178,435.50
  6. Step 6: Final answer
    x = 386,822.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.