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Finding the Third Proportional to 158,571 and 332,712

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Solution

The third proportional to 158,571 and 332,712 is: 698,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,571 : 332,712 = 332,712 : x
  2. Step 2: Convert to fraction form
    158,571/332,712 = 332,712/x
  3. Step 3: Cross multiply
    158,571x = 332,712 × 332,712
  4. Step 4: Simplify right side
    158,571x = 110,697,274,944
  5. Step 5: Solve for x
    x = 110,697,274,944/158,571
  6. Step 6: Final answer
    x = 698,092.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.