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Finding the Third Proportional to 162,992.25 and 345,606.75

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Solution

The third proportional to 162,992.25 and 345,606.75 is: 732,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,992.25 : 345,606.75 = 345,606.75 : x
  2. Step 2: Convert to fraction form
    162,992.25/345,606.75 = 345,606.75/x
  3. Step 3: Cross multiply
    162,992.25x = 345,606.75 × 345,606.75
  4. Step 4: Simplify right side
    162,992.25x = 119,444,025,645.56
  5. Step 5: Solve for x
    x = 119,444,025,645.56/162,992.25
  6. Step 6: Final answer
    x = 732,820.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.