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Finding the Third Proportional to 182,036 and 377,032

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Solution

The third proportional to 182,036 and 377,032 is: 780,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,036 : 377,032 = 377,032 : x
  2. Step 2: Convert to fraction form
    182,036/377,032 = 377,032/x
  3. Step 3: Cross multiply
    182,036x = 377,032 × 377,032
  4. Step 4: Simplify right side
    182,036x = 142,153,129,024
  5. Step 5: Solve for x
    x = 142,153,129,024/182,036
  6. Step 6: Final answer
    x = 780,906.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.