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Finding the Third Proportional to 133,000.50 and 295,525.50

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Solution

The third proportional to 133,000.50 and 295,525.50 is: 656,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,000.50 : 295,525.50 = 295,525.50 : x
  2. Step 2: Convert to fraction form
    133,000.50/295,525.50 = 295,525.50/x
  3. Step 3: Cross multiply
    133,000.50x = 295,525.50 × 295,525.50
  4. Step 4: Simplify right side
    133,000.50x = 87,335,321,150.25
  5. Step 5: Solve for x
    x = 87,335,321,150.25/133,000.50
  6. Step 6: Final answer
    x = 656,654.08

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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.