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Finding the Third Proportional to 114,295.50 and 262,866

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Solution

The third proportional to 114,295.50 and 262,866 is: 604,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,295.50 : 262,866 = 262,866 : x
  2. Step 2: Convert to fraction form
    114,295.50/262,866 = 262,866/x
  3. Step 3: Cross multiply
    114,295.50x = 262,866 × 262,866
  4. Step 4: Simplify right side
    114,295.50x = 69,098,533,956
  5. Step 5: Solve for x
    x = 69,098,533,956/114,295.50
  6. Step 6: Final answer
    x = 604,560.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.