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Finding the Third Proportional to 146,818 and 281,972

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Solution

The third proportional to 146,818 and 281,972 is: 541,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,818 : 281,972 = 281,972 : x
  2. Step 2: Convert to fraction form
    146,818/281,972 = 281,972/x
  3. Step 3: Cross multiply
    146,818x = 281,972 × 281,972
  4. Step 4: Simplify right side
    146,818x = 79,508,208,784
  5. Step 5: Solve for x
    x = 79,508,208,784/146,818
  6. Step 6: Final answer
    x = 541,542.65

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.