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Finding the Third Proportional to 133,946 and 295,150

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Solution

The third proportional to 133,946 and 295,150 is: 650,363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,946 : 295,150 = 295,150 : x
  2. Step 2: Convert to fraction form
    133,946/295,150 = 295,150/x
  3. Step 3: Cross multiply
    133,946x = 295,150 × 295,150
  4. Step 4: Simplify right side
    133,946x = 87,113,522,500
  5. Step 5: Solve for x
    x = 87,113,522,500/133,946
  6. Step 6: Final answer
    x = 650,363.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.