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Finding the Third Proportional to 216,372 and 332,784

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Solution

The third proportional to 216,372 and 332,784 is: 511,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,372 : 332,784 = 332,784 : x
  2. Step 2: Convert to fraction form
    216,372/332,784 = 332,784/x
  3. Step 3: Cross multiply
    216,372x = 332,784 × 332,784
  4. Step 4: Simplify right side
    216,372x = 110,745,190,656
  5. Step 5: Solve for x
    x = 110,745,190,656/216,372
  6. Step 6: Final answer
    x = 511,827.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.