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Finding the Third Proportional to 216,928.76 and 332,774.26

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Solution

The third proportional to 216,928.76 and 332,774.26 is: 510,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,928.76 : 332,774.26 = 332,774.26 : x
  2. Step 2: Convert to fraction form
    216,928.76/332,774.26 = 332,774.26/x
  3. Step 3: Cross multiply
    216,928.76x = 332,774.26 × 332,774.26
  4. Step 4: Simplify right side
    216,928.76x = 110,738,709,262.46
  5. Step 5: Solve for x
    x = 110,738,709,262.46/216,928.76
  6. Step 6: Final answer
    x = 510,484.23

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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.