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Finding the Third Proportional to 155,049.19 and 233,477.44

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Solution

The third proportional to 155,049.19 and 233,477.44 is: 351,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,049.19 : 233,477.44 = 233,477.44 : x
  2. Step 2: Convert to fraction form
    155,049.19/233,477.44 = 233,477.44/x
  3. Step 3: Cross multiply
    155,049.19x = 233,477.44 × 233,477.44
  4. Step 4: Simplify right side
    155,049.19x = 54,511,713,821.57
  5. Step 5: Solve for x
    x = 54,511,713,821.57/155,049.19
  6. Step 6: Final answer
    x = 351,576.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.