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Finding the Third Proportional to 117,586.50 and 258,583.50

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Solution

The third proportional to 117,586.50 and 258,583.50 is: 568,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,586.50 : 258,583.50 = 258,583.50 : x
  2. Step 2: Convert to fraction form
    117,586.50/258,583.50 = 258,583.50/x
  3. Step 3: Cross multiply
    117,586.50x = 258,583.50 × 258,583.50
  4. Step 4: Simplify right side
    117,586.50x = 66,865,426,472.25
  5. Step 5: Solve for x
    x = 66,865,426,472.25/117,586.50
  6. Step 6: Final answer
    x = 568,648.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.