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Finding the Third Proportional to 133,960.38 and 288,953.44

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Solution

The third proportional to 133,960.38 and 288,953.44 is: 623,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,960.38 : 288,953.44 = 288,953.44 : x
  2. Step 2: Convert to fraction form
    133,960.38/288,953.44 = 288,953.44/x
  3. Step 3: Cross multiply
    133,960.38x = 288,953.44 × 288,953.44
  4. Step 4: Simplify right side
    133,960.38x = 83,494,089,043.07
  5. Step 5: Solve for x
    x = 83,494,089,043.07/133,960.38
  6. Step 6: Final answer
    x = 623,274.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.