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Finding the Third Proportional to 216,888 and 324,057

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Solution

The third proportional to 216,888 and 324,057 is: 484,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,888 : 324,057 = 324,057 : x
  2. Step 2: Convert to fraction form
    216,888/324,057 = 324,057/x
  3. Step 3: Cross multiply
    216,888x = 324,057 × 324,057
  4. Step 4: Simplify right side
    216,888x = 105,012,939,249
  5. Step 5: Solve for x
    x = 105,012,939,249/216,888
  6. Step 6: Final answer
    x = 484,180.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.