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Finding the Third Proportional to 216,570.66 and 333,313.31

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Solution

The third proportional to 216,570.66 and 333,313.31 is: 512,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,570.66 : 333,313.31 = 333,313.31 : x
  2. Step 2: Convert to fraction form
    216,570.66/333,313.31 = 333,313.31/x
  3. Step 3: Cross multiply
    216,570.66x = 333,313.31 × 333,313.31
  4. Step 4: Simplify right side
    216,570.66x = 111,097,764,289.72
  5. Step 5: Solve for x
    x = 111,097,764,289.72/216,570.66
  6. Step 6: Final answer
    x = 512,986.23

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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.