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Finding the Third Proportional to 158,982.75 and 245,855.25

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Solution

The third proportional to 158,982.75 and 245,855.25 is: 380,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,982.75 : 245,855.25 = 245,855.25 : x
  2. Step 2: Convert to fraction form
    158,982.75/245,855.25 = 245,855.25/x
  3. Step 3: Cross multiply
    158,982.75x = 245,855.25 × 245,855.25
  4. Step 4: Simplify right side
    158,982.75x = 60,444,803,952.56
  5. Step 5: Solve for x
    x = 60,444,803,952.56/158,982.75
  6. Step 6: Final answer
    x = 380,197.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.