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Finding the Third Proportional to 167,287.50 and 342,729

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Solution

The third proportional to 167,287.50 and 342,729 is: 702,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,287.50 : 342,729 = 342,729 : x
  2. Step 2: Convert to fraction form
    167,287.50/342,729 = 342,729/x
  3. Step 3: Cross multiply
    167,287.50x = 342,729 × 342,729
  4. Step 4: Simplify right side
    167,287.50x = 117,463,167,441
  5. Step 5: Solve for x
    x = 117,463,167,441/167,287.50
  6. Step 6: Final answer
    x = 702,163.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.