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Finding the Third Proportional to 202,664.25 and 439,942.50

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Solution

The third proportional to 202,664.25 and 439,942.50 is: 955,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,664.25 : 439,942.50 = 439,942.50 : x
  2. Step 2: Convert to fraction form
    202,664.25/439,942.50 = 439,942.50/x
  3. Step 3: Cross multiply
    202,664.25x = 439,942.50 × 439,942.50
  4. Step 4: Simplify right side
    202,664.25x = 193,549,403,306.25
  5. Step 5: Solve for x
    x = 193,549,403,306.25/202,664.25
  6. Step 6: Final answer
    x = 955,024.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.