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Finding the Third Proportional to 209,394 and 333,515.25

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Solution

The third proportional to 209,394 and 333,515.25 is: 531,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,394 : 333,515.25 = 333,515.25 : x
  2. Step 2: Convert to fraction form
    209,394/333,515.25 = 333,515.25/x
  3. Step 3: Cross multiply
    209,394x = 333,515.25 × 333,515.25
  4. Step 4: Simplify right side
    209,394x = 111,232,421,982.56
  5. Step 5: Solve for x
    x = 111,232,421,982.56/209,394
  6. Step 6: Final answer
    x = 531,211.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.