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Finding the Third Proportional to 152,797.50 and 332,161.50

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Solution

The third proportional to 152,797.50 and 332,161.50 is: 722,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,797.50 : 332,161.50 = 332,161.50 : x
  2. Step 2: Convert to fraction form
    152,797.50/332,161.50 = 332,161.50/x
  3. Step 3: Cross multiply
    152,797.50x = 332,161.50 × 332,161.50
  4. Step 4: Simplify right side
    152,797.50x = 110,331,262,082.25
  5. Step 5: Solve for x
    x = 110,331,262,082.25/152,797.50
  6. Step 6: Final answer
    x = 722,075.05

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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.