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Finding the Third Proportional to 152,635.50 and 332,390.25

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Solution

The third proportional to 152,635.50 and 332,390.25 is: 723,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,635.50 : 332,390.25 = 332,390.25 : x
  2. Step 2: Convert to fraction form
    152,635.50/332,390.25 = 332,390.25/x
  3. Step 3: Cross multiply
    152,635.50x = 332,390.25 × 332,390.25
  4. Step 4: Simplify right side
    152,635.50x = 110,483,278,295.06
  5. Step 5: Solve for x
    x = 110,483,278,295.06/152,635.50
  6. Step 6: Final answer
    x = 723,837.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.