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Finding the Third Proportional to 209,622 and 296,329.50

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Solution

The third proportional to 209,622 and 296,329.50 is: 418,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,622 : 296,329.50 = 296,329.50 : x
  2. Step 2: Convert to fraction form
    209,622/296,329.50 = 296,329.50/x
  3. Step 3: Cross multiply
    209,622x = 296,329.50 × 296,329.50
  4. Step 4: Simplify right side
    209,622x = 87,811,172,570.25
  5. Step 5: Solve for x
    x = 87,811,172,570.25/209,622
  6. Step 6: Final answer
    x = 418,902.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.