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Finding the Third Proportional to 195,957.50 and 293,174

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Solution

The third proportional to 195,957.50 and 293,174 is: 438,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,957.50 : 293,174 = 293,174 : x
  2. Step 2: Convert to fraction form
    195,957.50/293,174 = 293,174/x
  3. Step 3: Cross multiply
    195,957.50x = 293,174 × 293,174
  4. Step 4: Simplify right side
    195,957.50x = 85,950,994,276
  5. Step 5: Solve for x
    x = 85,950,994,276/195,957.50
  6. Step 6: Final answer
    x = 438,620.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.