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Finding the Third Proportional to 209,583 and 332,097.75

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Solution

The third proportional to 209,583 and 332,097.75 is: 526,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,583 : 332,097.75 = 332,097.75 : x
  2. Step 2: Convert to fraction form
    209,583/332,097.75 = 332,097.75/x
  3. Step 3: Cross multiply
    209,583x = 332,097.75 × 332,097.75
  4. Step 4: Simplify right side
    209,583x = 110,288,915,555.06
  5. Step 5: Solve for x
    x = 110,288,915,555.06/209,583
  6. Step 6: Final answer
    x = 526,230.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.