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Finding the Third Proportional to 160,614 and 348,906

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Solution

The third proportional to 160,614 and 348,906 is: 757,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,614 : 348,906 = 348,906 : x
  2. Step 2: Convert to fraction form
    160,614/348,906 = 348,906/x
  3. Step 3: Cross multiply
    160,614x = 348,906 × 348,906
  4. Step 4: Simplify right side
    160,614x = 121,735,396,836
  5. Step 5: Solve for x
    x = 121,735,396,836/160,614
  6. Step 6: Final answer
    x = 757,937.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.