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Finding the Third Proportional to 158,858 and 340,750

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Solution

The third proportional to 158,858 and 340,750 is: 730,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,858 : 340,750 = 340,750 : x
  2. Step 2: Convert to fraction form
    158,858/340,750 = 340,750/x
  3. Step 3: Cross multiply
    158,858x = 340,750 × 340,750
  4. Step 4: Simplify right side
    158,858x = 116,110,562,500
  5. Step 5: Solve for x
    x = 116,110,562,500/158,858
  6. Step 6: Final answer
    x = 730,907.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.