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Finding the Third Proportional to 209,116.69 and 332,363.25

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Solution

The third proportional to 209,116.69 and 332,363.25 is: 528,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,116.69 : 332,363.25 = 332,363.25 : x
  2. Step 2: Convert to fraction form
    209,116.69/332,363.25 = 332,363.25/x
  3. Step 3: Cross multiply
    209,116.69x = 332,363.25 × 332,363.25
  4. Step 4: Simplify right side
    209,116.69x = 110,465,329,950.56
  5. Step 5: Solve for x
    x = 110,465,329,950.56/209,116.69
  6. Step 6: Final answer
    x = 528,247.32

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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.