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Finding the Third Proportional to 217,686 and 332,973

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Solution

The third proportional to 217,686 and 332,973 is: 509,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,686 : 332,973 = 332,973 : x
  2. Step 2: Convert to fraction form
    217,686/332,973 = 332,973/x
  3. Step 3: Cross multiply
    217,686x = 332,973 × 332,973
  4. Step 4: Simplify right side
    217,686x = 110,871,018,729
  5. Step 5: Solve for x
    x = 110,871,018,729/217,686
  6. Step 6: Final answer
    x = 509,316.26

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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.