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Finding the Third Proportional to 216,812 and 333,666

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Solution

The third proportional to 216,812 and 333,666 is: 513,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,812 : 333,666 = 333,666 : x
  2. Step 2: Convert to fraction form
    216,812/333,666 = 333,666/x
  3. Step 3: Cross multiply
    216,812x = 333,666 × 333,666
  4. Step 4: Simplify right side
    216,812x = 111,332,999,556
  5. Step 5: Solve for x
    x = 111,332,999,556/216,812
  6. Step 6: Final answer
    x = 513,500.17

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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.