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Finding the Third Proportional to 181,372.50 and 377,458.50

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Solution

The third proportional to 181,372.50 and 377,458.50 is: 785,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,372.50 : 377,458.50 = 377,458.50 : x
  2. Step 2: Convert to fraction form
    181,372.50/377,458.50 = 377,458.50/x
  3. Step 3: Cross multiply
    181,372.50x = 377,458.50 × 377,458.50
  4. Step 4: Simplify right side
    181,372.50x = 142,474,919,222.25
  5. Step 5: Solve for x
    x = 142,474,919,222.25/181,372.50
  6. Step 6: Final answer
    x = 785,537.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.