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Finding the Third Proportional to 161,546 and 352,467

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Solution

The third proportional to 161,546 and 352,467 is: 769,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,546 : 352,467 = 352,467 : x
  2. Step 2: Convert to fraction form
    161,546/352,467 = 352,467/x
  3. Step 3: Cross multiply
    161,546x = 352,467 × 352,467
  4. Step 4: Simplify right side
    161,546x = 124,232,986,089
  5. Step 5: Solve for x
    x = 124,232,986,089/161,546
  6. Step 6: Final answer
    x = 769,025.45

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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.