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Finding the Third Proportional to 79,666.50 and 173,382

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Solution

The third proportional to 79,666.50 and 173,382 is: 377,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,666.50 : 173,382 = 173,382 : x
  2. Step 2: Convert to fraction form
    79,666.50/173,382 = 173,382/x
  3. Step 3: Cross multiply
    79,666.50x = 173,382 × 173,382
  4. Step 4: Simplify right side
    79,666.50x = 30,061,317,924
  5. Step 5: Solve for x
    x = 30,061,317,924/79,666.50
  6. Step 6: Final answer
    x = 377,339.51

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