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Finding the Third Proportional to 176,458.50 and 192,496.50

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Solution

The third proportional to 176,458.50 and 192,496.50 is: 209,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,458.50 : 192,496.50 = 192,496.50 : x
  2. Step 2: Convert to fraction form
    176,458.50/192,496.50 = 192,496.50/x
  3. Step 3: Cross multiply
    176,458.50x = 192,496.50 × 192,496.50
  4. Step 4: Simplify right side
    176,458.50x = 37,054,902,512.25
  5. Step 5: Solve for x
    x = 37,054,902,512.25/176,458.50
  6. Step 6: Final answer
    x = 209,992.17

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.