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Finding the Third Proportional to 158,756 and 340,532

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Solution

The third proportional to 158,756 and 340,532 is: 730,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,756 : 340,532 = 340,532 : x
  2. Step 2: Convert to fraction form
    158,756/340,532 = 340,532/x
  3. Step 3: Cross multiply
    158,756x = 340,532 × 340,532
  4. Step 4: Simplify right side
    158,756x = 115,962,043,024
  5. Step 5: Solve for x
    x = 115,962,043,024/158,756
  6. Step 6: Final answer
    x = 730,441.96

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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.