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Finding the Third Proportional to 158,137 and 340,452

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Solution

The third proportional to 158,137 and 340,452 is: 732,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,137 : 340,452 = 340,452 : x
  2. Step 2: Convert to fraction form
    158,137/340,452 = 340,452/x
  3. Step 3: Cross multiply
    158,137x = 340,452 × 340,452
  4. Step 4: Simplify right side
    158,137x = 115,907,564,304
  5. Step 5: Solve for x
    x = 115,907,564,304/158,137
  6. Step 6: Final answer
    x = 732,956.64

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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.