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Finding the Third Proportional to 133,050 and 295,661

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Solution

The third proportional to 133,050 and 295,661 is: 657,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 295,661 = 295,661 : x
  2. Step 2: Convert to fraction form
    133,050/295,661 = 295,661/x
  3. Step 3: Cross multiply
    133,050x = 295,661 × 295,661
  4. Step 4: Simplify right side
    133,050x = 87,415,426,921
  5. Step 5: Solve for x
    x = 87,415,426,921/133,050
  6. Step 6: Final answer
    x = 657,011.85

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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.