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Finding the Third Proportional to 208,091.25 and 311,567.06

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Solution

The third proportional to 208,091.25 and 311,567.06 is: 466,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,091.25 : 311,567.06 = 311,567.06 : x
  2. Step 2: Convert to fraction form
    208,091.25/311,567.06 = 311,567.06/x
  3. Step 3: Cross multiply
    208,091.25x = 311,567.06 × 311,567.06
  4. Step 4: Simplify right side
    208,091.25x = 97,074,034,434.88
  5. Step 5: Solve for x
    x = 97,074,034,434.88/208,091.25
  6. Step 6: Final answer
    x = 466,497.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.