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Finding the Third Proportional to 173,866.50 and 229,635

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Solution

The third proportional to 173,866.50 and 229,635 is: 303,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,866.50 : 229,635 = 229,635 : x
  2. Step 2: Convert to fraction form
    173,866.50/229,635 = 229,635/x
  3. Step 3: Cross multiply
    173,866.50x = 229,635 × 229,635
  4. Step 4: Simplify right side
    173,866.50x = 52,732,233,225
  5. Step 5: Solve for x
    x = 52,732,233,225/173,866.50
  6. Step 6: Final answer
    x = 303,291.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.