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Finding the Third Proportional to 158,346 and 332,052

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Solution

The third proportional to 158,346 and 332,052 is: 696,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,346 : 332,052 = 332,052 : x
  2. Step 2: Convert to fraction form
    158,346/332,052 = 332,052/x
  3. Step 3: Cross multiply
    158,346x = 332,052 × 332,052
  4. Step 4: Simplify right side
    158,346x = 110,258,530,704
  5. Step 5: Solve for x
    x = 110,258,530,704/158,346
  6. Step 6: Final answer
    x = 696,313.96

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