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Finding the Third Proportional to 130,956 and 285,901

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Solution

The third proportional to 130,956 and 285,901 is: 624,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,956 : 285,901 = 285,901 : x
  2. Step 2: Convert to fraction form
    130,956/285,901 = 285,901/x
  3. Step 3: Cross multiply
    130,956x = 285,901 × 285,901
  4. Step 4: Simplify right side
    130,956x = 81,739,381,801
  5. Step 5: Solve for x
    x = 81,739,381,801/130,956
  6. Step 6: Final answer
    x = 624,174.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.