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Finding the Third Proportional to 155,353.50 and 332,832

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Solution

The third proportional to 155,353.50 and 332,832 is: 713,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,353.50 : 332,832 = 332,832 : x
  2. Step 2: Convert to fraction form
    155,353.50/332,832 = 332,832/x
  3. Step 3: Cross multiply
    155,353.50x = 332,832 × 332,832
  4. Step 4: Simplify right side
    155,353.50x = 110,777,140,224
  5. Step 5: Solve for x
    x = 110,777,140,224/155,353.50
  6. Step 6: Final answer
    x = 713,064.98

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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.