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Finding the Third Proportional to 166,635.50 and 237,482.63

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Solution

The third proportional to 166,635.50 and 237,482.63 is: 338,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,635.50 : 237,482.63 = 237,482.63 : x
  2. Step 2: Convert to fraction form
    166,635.50/237,482.63 = 237,482.63/x
  3. Step 3: Cross multiply
    166,635.50x = 237,482.63 × 237,482.63
  4. Step 4: Simplify right side
    166,635.50x = 56,397,997,176.89
  5. Step 5: Solve for x
    x = 56,397,997,176.89/166,635.50
  6. Step 6: Final answer
    x = 338,451.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.