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Finding the Third Proportional to 158,049.50 and 236,138

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Solution

The third proportional to 158,049.50 and 236,138 is: 352,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,049.50 : 236,138 = 236,138 : x
  2. Step 2: Convert to fraction form
    158,049.50/236,138 = 236,138/x
  3. Step 3: Cross multiply
    158,049.50x = 236,138 × 236,138
  4. Step 4: Simplify right side
    158,049.50x = 55,761,155,044
  5. Step 5: Solve for x
    x = 55,761,155,044/158,049.50
  6. Step 6: Final answer
    x = 352,808.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.