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Finding the Third Proportional to 174,715.50 and 382,144.50

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Solution

The third proportional to 174,715.50 and 382,144.50 is: 835,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,715.50 : 382,144.50 = 382,144.50 : x
  2. Step 2: Convert to fraction form
    174,715.50/382,144.50 = 382,144.50/x
  3. Step 3: Cross multiply
    174,715.50x = 382,144.50 × 382,144.50
  4. Step 4: Simplify right side
    174,715.50x = 146,034,418,880.25
  5. Step 5: Solve for x
    x = 146,034,418,880.25/174,715.50
  6. Step 6: Final answer
    x = 835,841.23

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