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Finding the Third Proportional to 211,143 and 439,759.50

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Solution

The third proportional to 211,143 and 439,759.50 is: 915,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,143 : 439,759.50 = 439,759.50 : x
  2. Step 2: Convert to fraction form
    211,143/439,759.50 = 439,759.50/x
  3. Step 3: Cross multiply
    211,143x = 439,759.50 × 439,759.50
  4. Step 4: Simplify right side
    211,143x = 193,388,417,840.25
  5. Step 5: Solve for x
    x = 193,388,417,840.25/211,143
  6. Step 6: Final answer
    x = 915,912.05

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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.