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Finding the Third Proportional to 152,809.03 and 166,644.84

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Solution

The third proportional to 152,809.03 and 166,644.84 is: 181,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,809.03 : 166,644.84 = 166,644.84 : x
  2. Step 2: Convert to fraction form
    152,809.03/166,644.84 = 166,644.84/x
  3. Step 3: Cross multiply
    152,809.03x = 166,644.84 × 166,644.84
  4. Step 4: Simplify right side
    152,809.03x = 27,770,503,948.46
  5. Step 5: Solve for x
    x = 27,770,503,948.46/152,809.03
  6. Step 6: Final answer
    x = 181,733.39

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.