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Finding the Third Proportional to 195,205.50 and 265,160.25

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Solution

The third proportional to 195,205.50 and 265,160.25 is: 360,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,205.50 : 265,160.25 = 265,160.25 : x
  2. Step 2: Convert to fraction form
    195,205.50/265,160.25 = 265,160.25/x
  3. Step 3: Cross multiply
    195,205.50x = 265,160.25 × 265,160.25
  4. Step 4: Simplify right side
    195,205.50x = 70,309,958,180.06
  5. Step 5: Solve for x
    x = 70,309,958,180.06/195,205.50
  6. Step 6: Final answer
    x = 360,184.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.