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Finding the Third Proportional to 217,932 and 333,240

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Solution

The third proportional to 217,932 and 333,240 is: 509,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,932 : 333,240 = 333,240 : x
  2. Step 2: Convert to fraction form
    217,932/333,240 = 333,240/x
  3. Step 3: Cross multiply
    217,932x = 333,240 × 333,240
  4. Step 4: Simplify right side
    217,932x = 111,048,897,600
  5. Step 5: Solve for x
    x = 111,048,897,600/217,932
  6. Step 6: Final answer
    x = 509,557.56

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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.