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Finding the Third Proportional to 153,035.81 and 332,280.37

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Solution

The third proportional to 153,035.81 and 332,280.37 is: 721,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,035.81 : 332,280.37 = 332,280.37 : x
  2. Step 2: Convert to fraction form
    153,035.81/332,280.37 = 332,280.37/x
  3. Step 3: Cross multiply
    153,035.81x = 332,280.37 × 332,280.37
  4. Step 4: Simplify right side
    153,035.81x = 110,410,245,176.44
  5. Step 5: Solve for x
    x = 110,410,245,176.44/153,035.81
  6. Step 6: Final answer
    x = 721,466.75

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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.