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Finding the Third Proportional to 130,978 and 285,940

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Solution

The third proportional to 130,978 and 285,940 is: 624,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,978 : 285,940 = 285,940 : x
  2. Step 2: Convert to fraction form
    130,978/285,940 = 285,940/x
  3. Step 3: Cross multiply
    130,978x = 285,940 × 285,940
  4. Step 4: Simplify right side
    130,978x = 81,761,683,600
  5. Step 5: Solve for x
    x = 81,761,683,600/130,978
  6. Step 6: Final answer
    x = 624,239.82

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