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Finding the Third Proportional to 193,479 and 293,139.75

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Solution

The third proportional to 193,479 and 293,139.75 is: 444,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,479 : 293,139.75 = 293,139.75 : x
  2. Step 2: Convert to fraction form
    193,479/293,139.75 = 293,139.75/x
  3. Step 3: Cross multiply
    193,479x = 293,139.75 × 293,139.75
  4. Step 4: Simplify right side
    193,479x = 85,930,913,030.06
  5. Step 5: Solve for x
    x = 85,930,913,030.06/193,479
  6. Step 6: Final answer
    x = 444,135.61

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