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Finding the Third Proportional to 216,776.25 and 333,618.75

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Solution

The third proportional to 216,776.25 and 333,618.75 is: 513,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,776.25 : 333,618.75 = 333,618.75 : x
  2. Step 2: Convert to fraction form
    216,776.25/333,618.75 = 333,618.75/x
  3. Step 3: Cross multiply
    216,776.25x = 333,618.75 × 333,618.75
  4. Step 4: Simplify right side
    216,776.25x = 111,301,470,351.56
  5. Step 5: Solve for x
    x = 111,301,470,351.56/216,776.25
  6. Step 6: Final answer
    x = 513,439.41

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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.