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Finding the Third Proportional to 133,028 and 295,580

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Solution

The third proportional to 133,028 and 295,580 is: 656,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,028 : 295,580 = 295,580 : x
  2. Step 2: Convert to fraction form
    133,028/295,580 = 295,580/x
  3. Step 3: Cross multiply
    133,028x = 295,580 × 295,580
  4. Step 4: Simplify right side
    133,028x = 87,367,536,400
  5. Step 5: Solve for x
    x = 87,367,536,400/133,028
  6. Step 6: Final answer
    x = 656,760.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.