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Finding the Third Proportional to 202,835.25 and 433,813.50

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Solution

The third proportional to 202,835.25 and 433,813.50 is: 927,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,835.25 : 433,813.50 = 433,813.50 : x
  2. Step 2: Convert to fraction form
    202,835.25/433,813.50 = 433,813.50/x
  3. Step 3: Cross multiply
    202,835.25x = 433,813.50 × 433,813.50
  4. Step 4: Simplify right side
    202,835.25x = 188,194,152,782.25
  5. Step 5: Solve for x
    x = 188,194,152,782.25/202,835.25
  6. Step 6: Final answer
    x = 927,817.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.