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Finding the Third Proportional to 211,213.50 and 439,903.50

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Solution

The third proportional to 211,213.50 and 439,903.50 is: 916,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,213.50 : 439,903.50 = 439,903.50 : x
  2. Step 2: Convert to fraction form
    211,213.50/439,903.50 = 439,903.50/x
  3. Step 3: Cross multiply
    211,213.50x = 439,903.50 × 439,903.50
  4. Step 4: Simplify right side
    211,213.50x = 193,515,089,312.25
  5. Step 5: Solve for x
    x = 193,515,089,312.25/211,213.50
  6. Step 6: Final answer
    x = 916,206.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.