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Finding the Third Proportional to 161,760 and 351,006

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Solution

The third proportional to 161,760 and 351,006 is: 761,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,760 : 351,006 = 351,006 : x
  2. Step 2: Convert to fraction form
    161,760/351,006 = 351,006/x
  3. Step 3: Cross multiply
    161,760x = 351,006 × 351,006
  4. Step 4: Simplify right side
    161,760x = 123,205,212,036
  5. Step 5: Solve for x
    x = 123,205,212,036/161,760
  6. Step 6: Final answer
    x = 761,654.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.