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Finding the Third Proportional to 166,674.75 and 264,775.13

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Solution

The third proportional to 166,674.75 and 264,775.13 is: 420,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,674.75 : 264,775.13 = 264,775.13 : x
  2. Step 2: Convert to fraction form
    166,674.75/264,775.13 = 264,775.13/x
  3. Step 3: Cross multiply
    166,674.75x = 264,775.13 × 264,775.13
  4. Step 4: Simplify right side
    166,674.75x = 70,105,866,818.77
  5. Step 5: Solve for x
    x = 70,105,866,818.77/166,674.75
  6. Step 6: Final answer
    x = 420,614.80

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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.