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Finding the Third Proportional to 171,906.50 and 371,465.75

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Solution

The third proportional to 171,906.50 and 371,465.75 is: 802,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,906.50 : 371,465.75 = 371,465.75 : x
  2. Step 2: Convert to fraction form
    171,906.50/371,465.75 = 371,465.75/x
  3. Step 3: Cross multiply
    171,906.50x = 371,465.75 × 371,465.75
  4. Step 4: Simplify right side
    171,906.50x = 137,986,803,423.06
  5. Step 5: Solve for x
    x = 137,986,803,423.06/171,906.50
  6. Step 6: Final answer
    x = 802,685.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.