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Finding the Third Proportional to 153,772 and 332,815

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Solution

The third proportional to 153,772 and 332,815 is: 720,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,772 : 332,815 = 332,815 : x
  2. Step 2: Convert to fraction form
    153,772/332,815 = 332,815/x
  3. Step 3: Cross multiply
    153,772x = 332,815 × 332,815
  4. Step 4: Simplify right side
    153,772x = 110,765,824,225
  5. Step 5: Solve for x
    x = 110,765,824,225/153,772
  6. Step 6: Final answer
    x = 720,325.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.