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Finding the Third Proportional to 216,577.50 and 324,866.25

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Solution

The third proportional to 216,577.50 and 324,866.25 is: 487,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,577.50 : 324,866.25 = 324,866.25 : x
  2. Step 2: Convert to fraction form
    216,577.50/324,866.25 = 324,866.25/x
  3. Step 3: Cross multiply
    216,577.50x = 324,866.25 × 324,866.25
  4. Step 4: Simplify right side
    216,577.50x = 105,538,080,389.06
  5. Step 5: Solve for x
    x = 105,538,080,389.06/216,577.50
  6. Step 6: Final answer
    x = 487,299.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.