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Finding the Third Proportional to 133,944 and 281,680

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Solution

The third proportional to 133,944 and 281,680 is: 592,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,944 : 281,680 = 281,680 : x
  2. Step 2: Convert to fraction form
    133,944/281,680 = 281,680/x
  3. Step 3: Cross multiply
    133,944x = 281,680 × 281,680
  4. Step 4: Simplify right side
    133,944x = 79,343,622,400
  5. Step 5: Solve for x
    x = 79,343,622,400/133,944
  6. Step 6: Final answer
    x = 592,364.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.