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Finding the Third Proportional to 201,199.50 and 436,999.50

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Solution

The third proportional to 201,199.50 and 436,999.50 is: 949,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,199.50 : 436,999.50 = 436,999.50 : x
  2. Step 2: Convert to fraction form
    201,199.50/436,999.50 = 436,999.50/x
  3. Step 3: Cross multiply
    201,199.50x = 436,999.50 × 436,999.50
  4. Step 4: Simplify right side
    201,199.50x = 190,968,563,000.25
  5. Step 5: Solve for x
    x = 190,968,563,000.25/201,199.50
  6. Step 6: Final answer
    x = 949,150.29

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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.