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Finding the Third Proportional to 193,475.25 and 293,133.94

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Solution

The third proportional to 193,475.25 and 293,133.94 is: 444,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,475.25 : 293,133.94 = 293,133.94 : x
  2. Step 2: Convert to fraction form
    193,475.25/293,133.94 = 293,133.94/x
  3. Step 3: Cross multiply
    193,475.25x = 293,133.94 × 293,133.94
  4. Step 4: Simplify right side
    193,475.25x = 85,927,505,314.25
  5. Step 5: Solve for x
    x = 85,927,505,314.25/193,475.25
  6. Step 6: Final answer
    x = 444,126.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.