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Finding the Third Proportional to 129,348.14 and 278,364.09

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Solution

The third proportional to 129,348.14 and 278,364.09 is: 599,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,348.14 : 278,364.09 = 278,364.09 : x
  2. Step 2: Convert to fraction form
    129,348.14/278,364.09 = 278,364.09/x
  3. Step 3: Cross multiply
    129,348.14x = 278,364.09 × 278,364.09
  4. Step 4: Simplify right side
    129,348.14x = 77,486,568,689.26
  5. Step 5: Solve for x
    x = 77,486,568,689.26/129,348.14
  6. Step 6: Final answer
    x = 599,054.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.