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Finding the Third Proportional to 130,935 and 281,247

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Solution

The third proportional to 130,935 and 281,247 is: 604,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,935 : 281,247 = 281,247 : x
  2. Step 2: Convert to fraction form
    130,935/281,247 = 281,247/x
  3. Step 3: Cross multiply
    130,935x = 281,247 × 281,247
  4. Step 4: Simplify right side
    130,935x = 79,099,875,009
  5. Step 5: Solve for x
    x = 79,099,875,009/130,935
  6. Step 6: Final answer
    x = 604,115.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.