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Finding the Third Proportional to 216,894 and 324,096

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Solution

The third proportional to 216,894 and 324,096 is: 484,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,894 : 324,096 = 324,096 : x
  2. Step 2: Convert to fraction form
    216,894/324,096 = 324,096/x
  3. Step 3: Cross multiply
    216,894x = 324,096 × 324,096
  4. Step 4: Simplify right side
    216,894x = 105,038,217,216
  5. Step 5: Solve for x
    x = 105,038,217,216/216,894
  6. Step 6: Final answer
    x = 484,283.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.