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Finding the Third Proportional to 181,365.75 and 377,446.50

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Solution

The third proportional to 181,365.75 and 377,446.50 is: 785,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,365.75 : 377,446.50 = 377,446.50 : x
  2. Step 2: Convert to fraction form
    181,365.75/377,446.50 = 377,446.50/x
  3. Step 3: Cross multiply
    181,365.75x = 377,446.50 × 377,446.50
  4. Step 4: Simplify right side
    181,365.75x = 142,465,860,362.25
  5. Step 5: Solve for x
    x = 142,465,860,362.25/181,365.75
  6. Step 6: Final answer
    x = 785,516.89

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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.