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Finding the Third Proportional to 105,708 and 220,160

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Solution

The third proportional to 105,708 and 220,160 is: 458,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,708 : 220,160 = 220,160 : x
  2. Step 2: Convert to fraction form
    105,708/220,160 = 220,160/x
  3. Step 3: Cross multiply
    105,708x = 220,160 × 220,160
  4. Step 4: Simplify right side
    105,708x = 48,470,425,600
  5. Step 5: Solve for x
    x = 48,470,425,600/105,708
  6. Step 6: Final answer
    x = 458,531.29

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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.