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Finding the Third Proportional to 193,237.97 and 254,106.94

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Solution

The third proportional to 193,237.97 and 254,106.94 is: 334,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,237.97 : 254,106.94 = 254,106.94 : x
  2. Step 2: Convert to fraction form
    193,237.97/254,106.94 = 254,106.94/x
  3. Step 3: Cross multiply
    193,237.97x = 254,106.94 × 254,106.94
  4. Step 4: Simplify right side
    193,237.97x = 64,570,335,685.63
  5. Step 5: Solve for x
    x = 64,570,335,685.63/193,237.97
  6. Step 6: Final answer
    x = 334,149.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.