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Finding the Third Proportional to 158,788 and 340,601

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Solution

The third proportional to 158,788 and 340,601 is: 730,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,788 : 340,601 = 340,601 : x
  2. Step 2: Convert to fraction form
    158,788/340,601 = 340,601/x
  3. Step 3: Cross multiply
    158,788x = 340,601 × 340,601
  4. Step 4: Simplify right side
    158,788x = 116,009,041,201
  5. Step 5: Solve for x
    x = 116,009,041,201/158,788
  6. Step 6: Final answer
    x = 730,590.73

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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.