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Finding the Third Proportional to 166,525.88 and 253,935

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Solution

The third proportional to 166,525.88 and 253,935 is: 387,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,525.88 : 253,935 = 253,935 : x
  2. Step 2: Convert to fraction form
    166,525.88/253,935 = 253,935/x
  3. Step 3: Cross multiply
    166,525.88x = 253,935 × 253,935
  4. Step 4: Simplify right side
    166,525.88x = 64,482,984,225
  5. Step 5: Solve for x
    x = 64,482,984,225/166,525.88
  6. Step 6: Final answer
    x = 387,225.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.