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Finding the Third Proportional to 158,880 and 348,108

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Solution

The third proportional to 158,880 and 348,108 is: 762,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,880 : 348,108 = 348,108 : x
  2. Step 2: Convert to fraction form
    158,880/348,108 = 348,108/x
  3. Step 3: Cross multiply
    158,880x = 348,108 × 348,108
  4. Step 4: Simplify right side
    158,880x = 121,179,179,664
  5. Step 5: Solve for x
    x = 121,179,179,664/158,880
  6. Step 6: Final answer
    x = 762,708.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.