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Finding the Third Proportional to 161,576 and 345,146

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Solution

The third proportional to 161,576 and 345,146 is: 737,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,576 : 345,146 = 345,146 : x
  2. Step 2: Convert to fraction form
    161,576/345,146 = 345,146/x
  3. Step 3: Cross multiply
    161,576x = 345,146 × 345,146
  4. Step 4: Simplify right side
    161,576x = 119,125,761,316
  5. Step 5: Solve for x
    x = 119,125,761,316/161,576
  6. Step 6: Final answer
    x = 737,273.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.