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Finding the Third Proportional to 178,276 and 282,174

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Solution

The third proportional to 178,276 and 282,174 is: 446,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,276 : 282,174 = 282,174 : x
  2. Step 2: Convert to fraction form
    178,276/282,174 = 282,174/x
  3. Step 3: Cross multiply
    178,276x = 282,174 × 282,174
  4. Step 4: Simplify right side
    178,276x = 79,622,166,276
  5. Step 5: Solve for x
    x = 79,622,166,276/178,276
  6. Step 6: Final answer
    x = 446,623.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.