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Finding the Third Proportional to 202,382.50 and 301,933.50

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Solution

The third proportional to 202,382.50 and 301,933.50 is: 450,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382.50 : 301,933.50 = 301,933.50 : x
  2. Step 2: Convert to fraction form
    202,382.50/301,933.50 = 301,933.50/x
  3. Step 3: Cross multiply
    202,382.50x = 301,933.50 × 301,933.50
  4. Step 4: Simplify right side
    202,382.50x = 91,163,838,422.25
  5. Step 5: Solve for x
    x = 91,163,838,422.25/202,382.50
  6. Step 6: Final answer
    x = 450,453.17

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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.