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Finding the Third Proportional to 119,272 and 178,296

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Solution

The third proportional to 119,272 and 178,296 is: 266,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,272 : 178,296 = 178,296 : x
  2. Step 2: Convert to fraction form
    119,272/178,296 = 178,296/x
  3. Step 3: Cross multiply
    119,272x = 178,296 × 178,296
  4. Step 4: Simplify right side
    119,272x = 31,789,463,616
  5. Step 5: Solve for x
    x = 31,789,463,616/119,272
  6. Step 6: Final answer
    x = 266,529.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.