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Finding the Third Proportional to 79,566.50 and 173,335

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Solution

The third proportional to 79,566.50 and 173,335 is: 377,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,566.50 : 173,335 = 173,335 : x
  2. Step 2: Convert to fraction form
    79,566.50/173,335 = 173,335/x
  3. Step 3: Cross multiply
    79,566.50x = 173,335 × 173,335
  4. Step 4: Simplify right side
    79,566.50x = 30,045,022,225
  5. Step 5: Solve for x
    x = 30,045,022,225/79,566.50
  6. Step 6: Final answer
    x = 377,608.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.