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Finding the Third Proportional to 149,596.75 and 320,207.50

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Solution

The third proportional to 149,596.75 and 320,207.50 is: 685,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,596.75 : 320,207.50 = 320,207.50 : x
  2. Step 2: Convert to fraction form
    149,596.75/320,207.50 = 320,207.50/x
  3. Step 3: Cross multiply
    149,596.75x = 320,207.50 × 320,207.50
  4. Step 4: Simplify right side
    149,596.75x = 102,532,843,056.25
  5. Step 5: Solve for x
    x = 102,532,843,056.25/149,596.75
  6. Step 6: Final answer
    x = 685,394.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.