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Finding the Third Proportional to 161,632 and 352,640

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Solution

The third proportional to 161,632 and 352,640 is: 769,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,632 : 352,640 = 352,640 : x
  2. Step 2: Convert to fraction form
    161,632/352,640 = 352,640/x
  3. Step 3: Cross multiply
    161,632x = 352,640 × 352,640
  4. Step 4: Simplify right side
    161,632x = 124,354,969,600
  5. Step 5: Solve for x
    x = 124,354,969,600/161,632
  6. Step 6: Final answer
    x = 769,370.98

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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.