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Finding the Third Proportional to 158,139 and 340,456

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Solution

The third proportional to 158,139 and 340,456 is: 732,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,139 : 340,456 = 340,456 : x
  2. Step 2: Convert to fraction form
    158,139/340,456 = 340,456/x
  3. Step 3: Cross multiply
    158,139x = 340,456 × 340,456
  4. Step 4: Simplify right side
    158,139x = 115,910,287,936
  5. Step 5: Solve for x
    x = 115,910,287,936/158,139
  6. Step 6: Final answer
    x = 732,964.59

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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.