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Finding the Third Proportional to 193,295 and 290,300

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Solution

The third proportional to 193,295 and 290,300 is: 435,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,295 : 290,300 = 290,300 : x
  2. Step 2: Convert to fraction form
    193,295/290,300 = 290,300/x
  3. Step 3: Cross multiply
    193,295x = 290,300 × 290,300
  4. Step 4: Simplify right side
    193,295x = 84,274,090,000
  5. Step 5: Solve for x
    x = 84,274,090,000/193,295
  6. Step 6: Final answer
    x = 435,986.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.