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Finding the Third Proportional to 166,060.63 and 264,363.63

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Solution

The third proportional to 166,060.63 and 264,363.63 is: 420,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,060.63 : 264,363.63 = 264,363.63 : x
  2. Step 2: Convert to fraction form
    166,060.63/264,363.63 = 264,363.63/x
  3. Step 3: Cross multiply
    166,060.63x = 264,363.63 × 264,363.63
  4. Step 4: Simplify right side
    166,060.63x = 69,888,126,223.14
  5. Step 5: Solve for x
    x = 69,888,126,223.14/166,060.63
  6. Step 6: Final answer
    x = 420,859.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.