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Finding the Third Proportional to 79,530.75 and 164,596.50

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Solution

The third proportional to 79,530.75 and 164,596.50 is: 340,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,530.75 : 164,596.50 = 164,596.50 : x
  2. Step 2: Convert to fraction form
    79,530.75/164,596.50 = 164,596.50/x
  3. Step 3: Cross multiply
    79,530.75x = 164,596.50 × 164,596.50
  4. Step 4: Simplify right side
    79,530.75x = 27,092,007,812.25
  5. Step 5: Solve for x
    x = 27,092,007,812.25/79,530.75
  6. Step 6: Final answer
    x = 340,648.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.