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Finding the Third Proportional to 101,034.84 and 168,384.66

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Solution

The third proportional to 101,034.84 and 168,384.66 is: 280,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,034.84 : 168,384.66 = 168,384.66 : x
  2. Step 2: Convert to fraction form
    101,034.84/168,384.66 = 168,384.66/x
  3. Step 3: Cross multiply
    101,034.84x = 168,384.66 × 168,384.66
  4. Step 4: Simplify right side
    101,034.84x = 28,353,392,460.43
  5. Step 5: Solve for x
    x = 28,353,392,460.43/101,034.84
  6. Step 6: Final answer
    x = 280,629.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.