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Finding the Third Proportional to 164,760 and 359,590.88

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Solution

The third proportional to 164,760 and 359,590.88 is: 784,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,760 : 359,590.88 = 359,590.88 : x
  2. Step 2: Convert to fraction form
    164,760/359,590.88 = 359,590.88/x
  3. Step 3: Cross multiply
    164,760x = 359,590.88 × 359,590.88
  4. Step 4: Simplify right side
    164,760x = 129,305,597,383.27
  5. Step 5: Solve for x
    x = 129,305,597,383.27/164,760
  6. Step 6: Final answer
    x = 784,811.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.