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Finding the Third Proportional to 160,116 and 348,420

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Solution

The third proportional to 160,116 and 348,420 is: 758,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,116 : 348,420 = 348,420 : x
  2. Step 2: Convert to fraction form
    160,116/348,420 = 348,420/x
  3. Step 3: Cross multiply
    160,116x = 348,420 × 348,420
  4. Step 4: Simplify right side
    160,116x = 121,396,496,400
  5. Step 5: Solve for x
    x = 121,396,496,400/160,116
  6. Step 6: Final answer
    x = 758,178.42

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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.