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Finding the Third Proportional to 133,030 and 295,621

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Solution

The third proportional to 133,030 and 295,621 is: 656,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,030 : 295,621 = 295,621 : x
  2. Step 2: Convert to fraction form
    133,030/295,621 = 295,621/x
  3. Step 3: Cross multiply
    133,030x = 295,621 × 295,621
  4. Step 4: Simplify right side
    133,030x = 87,391,775,641
  5. Step 5: Solve for x
    x = 87,391,775,641/133,030
  6. Step 6: Final answer
    x = 656,932.84

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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.