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Finding the Third Proportional to 158,129.50 and 244,583.50

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Solution

The third proportional to 158,129.50 and 244,583.50 is: 378,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,129.50 : 244,583.50 = 244,583.50 : x
  2. Step 2: Convert to fraction form
    158,129.50/244,583.50 = 244,583.50/x
  3. Step 3: Cross multiply
    158,129.50x = 244,583.50 × 244,583.50
  4. Step 4: Simplify right side
    158,129.50x = 59,821,088,472.25
  5. Step 5: Solve for x
    x = 59,821,088,472.25/158,129.50
  6. Step 6: Final answer
    x = 378,304.42

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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.