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Finding the Third Proportional to 202,542.75 and 436,248

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Solution

The third proportional to 202,542.75 and 436,248 is: 939,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,542.75 : 436,248 = 436,248 : x
  2. Step 2: Convert to fraction form
    202,542.75/436,248 = 436,248/x
  3. Step 3: Cross multiply
    202,542.75x = 436,248 × 436,248
  4. Step 4: Simplify right side
    202,542.75x = 190,312,317,504
  5. Step 5: Solve for x
    x = 190,312,317,504/202,542.75
  6. Step 6: Final answer
    x = 939,615.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.