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Finding the Third Proportional to 211,189.50 and 459,559.50

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Solution

The third proportional to 211,189.50 and 459,559.50 is: 1,000,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,189.50 : 459,559.50 = 459,559.50 : x
  2. Step 2: Convert to fraction form
    211,189.50/459,559.50 = 459,559.50/x
  3. Step 3: Cross multiply
    211,189.50x = 459,559.50 × 459,559.50
  4. Step 4: Simplify right side
    211,189.50x = 211,194,934,040.25
  5. Step 5: Solve for x
    x = 211,194,934,040.25/211,189.50
  6. Step 6: Final answer
    x = 1,000,025.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.