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Finding the Third Proportional to 180,484.50 and 365,350.50

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Solution

The third proportional to 180,484.50 and 365,350.50 is: 739,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,484.50 : 365,350.50 = 365,350.50 : x
  2. Step 2: Convert to fraction form
    180,484.50/365,350.50 = 365,350.50/x
  3. Step 3: Cross multiply
    180,484.50x = 365,350.50 × 365,350.50
  4. Step 4: Simplify right side
    180,484.50x = 133,480,987,850.25
  5. Step 5: Solve for x
    x = 133,480,987,850.25/180,484.50
  6. Step 6: Final answer
    x = 739,570.37

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.