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Finding the Third Proportional to 217,629 and 332,698.50

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Solution

The third proportional to 217,629 and 332,698.50 is: 508,610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,629 : 332,698.50 = 332,698.50 : x
  2. Step 2: Convert to fraction form
    217,629/332,698.50 = 332,698.50/x
  3. Step 3: Cross multiply
    217,629x = 332,698.50 × 332,698.50
  4. Step 4: Simplify right side
    217,629x = 110,688,291,902.25
  5. Step 5: Solve for x
    x = 110,688,291,902.25/217,629
  6. Step 6: Final answer
    x = 508,610.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.