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Finding the Third Proportional to 77,827.50 and 170,205.94

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Solution

The third proportional to 77,827.50 and 170,205.94 is: 372,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,827.50 : 170,205.94 = 170,205.94 : x
  2. Step 2: Convert to fraction form
    77,827.50/170,205.94 = 170,205.94/x
  3. Step 3: Cross multiply
    77,827.50x = 170,205.94 × 170,205.94
  4. Step 4: Simplify right side
    77,827.50x = 28,970,061,160.25
  5. Step 5: Solve for x
    x = 28,970,061,160.25/77,827.50
  6. Step 6: Final answer
    x = 372,234.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.