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Finding the Third Proportional to 208,149 and 491,200.50

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Solution

The third proportional to 208,149 and 491,200.50 is: 1,159,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,149 : 491,200.50 = 491,200.50 : x
  2. Step 2: Convert to fraction form
    208,149/491,200.50 = 491,200.50/x
  3. Step 3: Cross multiply
    208,149x = 491,200.50 × 491,200.50
  4. Step 4: Simplify right side
    208,149x = 241,277,931,200.25
  5. Step 5: Solve for x
    x = 241,277,931,200.25/208,149
  6. Step 6: Final answer
    x = 1,159,159.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.