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Finding the Third Proportional to 136,662.50 and 300,230.50

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Solution

The third proportional to 136,662.50 and 300,230.50 is: 659,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,662.50 : 300,230.50 = 300,230.50 : x
  2. Step 2: Convert to fraction form
    136,662.50/300,230.50 = 300,230.50/x
  3. Step 3: Cross multiply
    136,662.50x = 300,230.50 × 300,230.50
  4. Step 4: Simplify right side
    136,662.50x = 90,138,353,130.25
  5. Step 5: Solve for x
    x = 90,138,353,130.25/136,662.50
  6. Step 6: Final answer
    x = 659,569.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.