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Finding the Third Proportional to 181,045.94 and 273,898.63

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Solution

The third proportional to 181,045.94 and 273,898.63 is: 414,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,045.94 : 273,898.63 = 273,898.63 : x
  2. Step 2: Convert to fraction form
    181,045.94/273,898.63 = 273,898.63/x
  3. Step 3: Cross multiply
    181,045.94x = 273,898.63 × 273,898.63
  4. Step 4: Simplify right side
    181,045.94x = 75,020,456,776.89
  5. Step 5: Solve for x
    x = 75,020,456,776.89/181,045.94
  6. Step 6: Final answer
    x = 414,372.49

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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.