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Finding the Third Proportional to 152,850 and 332,052

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Solution

The third proportional to 152,850 and 332,052 is: 721,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,850 : 332,052 = 332,052 : x
  2. Step 2: Convert to fraction form
    152,850/332,052 = 332,052/x
  3. Step 3: Cross multiply
    152,850x = 332,052 × 332,052
  4. Step 4: Simplify right side
    152,850x = 110,258,530,704
  5. Step 5: Solve for x
    x = 110,258,530,704/152,850
  6. Step 6: Final answer
    x = 721,351.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.