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Finding the Third Proportional to 166,222.13 and 255,757.50

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Solution

The third proportional to 166,222.13 and 255,757.50 is: 393,521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,222.13 : 255,757.50 = 255,757.50 : x
  2. Step 2: Convert to fraction form
    166,222.13/255,757.50 = 255,757.50/x
  3. Step 3: Cross multiply
    166,222.13x = 255,757.50 × 255,757.50
  4. Step 4: Simplify right side
    166,222.13x = 65,411,898,806.25
  5. Step 5: Solve for x
    x = 65,411,898,806.25/166,222.13
  6. Step 6: Final answer
    x = 393,521.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.