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Finding the Third Proportional to 180,430 and 408,092

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Solution

The third proportional to 180,430 and 408,092 is: 923,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,430 : 408,092 = 408,092 : x
  2. Step 2: Convert to fraction form
    180,430/408,092 = 408,092/x
  3. Step 3: Cross multiply
    180,430x = 408,092 × 408,092
  4. Step 4: Simplify right side
    180,430x = 166,539,080,464
  5. Step 5: Solve for x
    x = 166,539,080,464/180,430
  6. Step 6: Final answer
    x = 923,012.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.