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Finding the Third Proportional to 182,114 and 273,699

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Solution

The third proportional to 182,114 and 273,699 is: 411,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,114 : 273,699 = 273,699 : x
  2. Step 2: Convert to fraction form
    182,114/273,699 = 273,699/x
  3. Step 3: Cross multiply
    182,114x = 273,699 × 273,699
  4. Step 4: Simplify right side
    182,114x = 74,911,142,601
  5. Step 5: Solve for x
    x = 74,911,142,601/182,114
  6. Step 6: Final answer
    x = 411,342.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.