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Finding the Third Proportional to 216,804 and 333,654

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Solution

The third proportional to 216,804 and 333,654 is: 513,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,804 : 333,654 = 333,654 : x
  2. Step 2: Convert to fraction form
    216,804/333,654 = 333,654/x
  3. Step 3: Cross multiply
    216,804x = 333,654 × 333,654
  4. Step 4: Simplify right side
    216,804x = 111,324,991,716
  5. Step 5: Solve for x
    x = 111,324,991,716/216,804
  6. Step 6: Final answer
    x = 513,482.19

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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.