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Finding the Third Proportional to 161,226 and 335,532

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Solution

The third proportional to 161,226 and 335,532 is: 698,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,226 : 335,532 = 335,532 : x
  2. Step 2: Convert to fraction form
    161,226/335,532 = 335,532/x
  3. Step 3: Cross multiply
    161,226x = 335,532 × 335,532
  4. Step 4: Simplify right side
    161,226x = 112,581,723,024
  5. Step 5: Solve for x
    x = 112,581,723,024/161,226
  6. Step 6: Final answer
    x = 698,285.16

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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.