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Finding the Third Proportional to 209,667 and 332,140.50

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Solution

The third proportional to 209,667 and 332,140.50 is: 526,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,667 : 332,140.50 = 332,140.50 : x
  2. Step 2: Convert to fraction form
    209,667/332,140.50 = 332,140.50/x
  3. Step 3: Cross multiply
    209,667x = 332,140.50 × 332,140.50
  4. Step 4: Simplify right side
    209,667x = 110,317,311,740.25
  5. Step 5: Solve for x
    x = 110,317,311,740.25/209,667
  6. Step 6: Final answer
    x = 526,154.86

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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.