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Finding the Third Proportional to 158,781.94 and 340,588.13

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Solution

The third proportional to 158,781.94 and 340,588.13 is: 730,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,781.94 : 340,588.13 = 340,588.13 : x
  2. Step 2: Convert to fraction form
    158,781.94/340,588.13 = 340,588.13/x
  3. Step 3: Cross multiply
    158,781.94x = 340,588.13 × 340,588.13
  4. Step 4: Simplify right side
    158,781.94x = 116,000,270,891.02
  5. Step 5: Solve for x
    x = 116,000,270,891.02/158,781.94
  6. Step 6: Final answer
    x = 730,563.39

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Why These Related Problems?

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