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Finding the Third Proportional to 161,493 and 345,072

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Solution

The third proportional to 161,493 and 345,072 is: 737,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,493 : 345,072 = 345,072 : x
  2. Step 2: Convert to fraction form
    161,493/345,072 = 345,072/x
  3. Step 3: Cross multiply
    161,493x = 345,072 × 345,072
  4. Step 4: Simplify right side
    161,493x = 119,074,685,184
  5. Step 5: Solve for x
    x = 119,074,685,184/161,493
  6. Step 6: Final answer
    x = 737,336.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.