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Finding the Third Proportional to 159,094 and 346,226

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Solution

The third proportional to 159,094 and 346,226 is: 753,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,094 : 346,226 = 346,226 : x
  2. Step 2: Convert to fraction form
    159,094/346,226 = 346,226/x
  3. Step 3: Cross multiply
    159,094x = 346,226 × 346,226
  4. Step 4: Simplify right side
    159,094x = 119,872,443,076
  5. Step 5: Solve for x
    x = 119,872,443,076/159,094
  6. Step 6: Final answer
    x = 753,469.29

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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.