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Finding the Third Proportional to 79,176.52 and 164,905.45

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Solution

The third proportional to 79,176.52 and 164,905.45 is: 343,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,176.52 : 164,905.45 = 164,905.45 : x
  2. Step 2: Convert to fraction form
    79,176.52/164,905.45 = 164,905.45/x
  3. Step 3: Cross multiply
    79,176.52x = 164,905.45 × 164,905.45
  4. Step 4: Simplify right side
    79,176.52x = 27,193,808,470.36
  5. Step 5: Solve for x
    x = 27,193,808,470.36/79,176.52
  6. Step 6: Final answer
    x = 343,458.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.