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Finding the Third Proportional to 133,053 and 295,635

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Solution

The third proportional to 133,053 and 295,635 is: 656,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053 : 295,635 = 295,635 : x
  2. Step 2: Convert to fraction form
    133,053/295,635 = 295,635/x
  3. Step 3: Cross multiply
    133,053x = 295,635 × 295,635
  4. Step 4: Simplify right side
    133,053x = 87,400,053,225
  5. Step 5: Solve for x
    x = 87,400,053,225/133,053
  6. Step 6: Final answer
    x = 656,881.49

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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.