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Finding the Third Proportional to 159,982 and 350,094

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Solution

The third proportional to 159,982 and 350,094 is: 766,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,982 : 350,094 = 350,094 : x
  2. Step 2: Convert to fraction form
    159,982/350,094 = 350,094/x
  3. Step 3: Cross multiply
    159,982x = 350,094 × 350,094
  4. Step 4: Simplify right side
    159,982x = 122,565,808,836
  5. Step 5: Solve for x
    x = 122,565,808,836/159,982
  6. Step 6: Final answer
    x = 766,122.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.