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Finding the Third Proportional to 158,542.50 and 245,383

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Solution

The third proportional to 158,542.50 and 245,383 is: 379,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,542.50 : 245,383 = 245,383 : x
  2. Step 2: Convert to fraction form
    158,542.50/245,383 = 245,383/x
  3. Step 3: Cross multiply
    158,542.50x = 245,383 × 245,383
  4. Step 4: Simplify right side
    158,542.50x = 60,212,816,689
  5. Step 5: Solve for x
    x = 60,212,816,689/158,542.50
  6. Step 6: Final answer
    x = 379,789.75

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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.