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Finding the Third Proportional to 152,571.50 and 332,265

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Solution

The third proportional to 152,571.50 and 332,265 is: 723,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,571.50 : 332,265 = 332,265 : x
  2. Step 2: Convert to fraction form
    152,571.50/332,265 = 332,265/x
  3. Step 3: Cross multiply
    152,571.50x = 332,265 × 332,265
  4. Step 4: Simplify right side
    152,571.50x = 110,400,030,225
  5. Step 5: Solve for x
    x = 110,400,030,225/152,571.50
  6. Step 6: Final answer
    x = 723,595.36

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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.