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Finding the Third Proportional to 160,440.75 and 281,513.81

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Solution

The third proportional to 160,440.75 and 281,513.81 is: 493,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,440.75 : 281,513.81 = 281,513.81 : x
  2. Step 2: Convert to fraction form
    160,440.75/281,513.81 = 281,513.81/x
  3. Step 3: Cross multiply
    160,440.75x = 281,513.81 × 281,513.81
  4. Step 4: Simplify right side
    160,440.75x = 79,250,026,628.29
  5. Step 5: Solve for x
    x = 79,250,026,628.29/160,440.75
  6. Step 6: Final answer
    x = 493,951.98

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.