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Finding the Third Proportional to 161,577 and 352,530

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Solution

The third proportional to 161,577 and 352,530 is: 769,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,577 : 352,530 = 352,530 : x
  2. Step 2: Convert to fraction form
    161,577/352,530 = 352,530/x
  3. Step 3: Cross multiply
    161,577x = 352,530 × 352,530
  4. Step 4: Simplify right side
    161,577x = 124,277,400,900
  5. Step 5: Solve for x
    x = 124,277,400,900/161,577
  6. Step 6: Final answer
    x = 769,152.79

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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.