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Finding the Third Proportional to 167,110.50 and 347,986.50

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Solution

The third proportional to 167,110.50 and 347,986.50 is: 724,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,110.50 : 347,986.50 = 347,986.50 : x
  2. Step 2: Convert to fraction form
    167,110.50/347,986.50 = 347,986.50/x
  3. Step 3: Cross multiply
    167,110.50x = 347,986.50 × 347,986.50
  4. Step 4: Simplify right side
    167,110.50x = 121,094,604,182.25
  5. Step 5: Solve for x
    x = 121,094,604,182.25/167,110.50
  6. Step 6: Final answer
    x = 724,637.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.