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Finding the Third Proportional to 135,941.63 and 295,237.13

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Solution

The third proportional to 135,941.63 and 295,237.13 is: 641,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,941.63 : 295,237.13 = 295,237.13 : x
  2. Step 2: Convert to fraction form
    135,941.63/295,237.13 = 295,237.13/x
  3. Step 3: Cross multiply
    135,941.63x = 295,237.13 × 295,237.13
  4. Step 4: Simplify right side
    135,941.63x = 87,164,959,978.27
  5. Step 5: Solve for x
    x = 87,164,959,978.27/135,941.63
  6. Step 6: Final answer
    x = 641,194.04

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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.