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Finding the Third Proportional to 155,323.50 and 332,772

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Solution

The third proportional to 155,323.50 and 332,772 is: 712,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,323.50 : 332,772 = 332,772 : x
  2. Step 2: Convert to fraction form
    155,323.50/332,772 = 332,772/x
  3. Step 3: Cross multiply
    155,323.50x = 332,772 × 332,772
  4. Step 4: Simplify right side
    155,323.50x = 110,737,203,984
  5. Step 5: Solve for x
    x = 110,737,203,984/155,323.50
  6. Step 6: Final answer
    x = 712,945.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.