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Finding the Third Proportional to 158,187 and 340,566

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Solution

The third proportional to 158,187 and 340,566 is: 733,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,187 : 340,566 = 340,566 : x
  2. Step 2: Convert to fraction form
    158,187/340,566 = 340,566/x
  3. Step 3: Cross multiply
    158,187x = 340,566 × 340,566
  4. Step 4: Simplify right side
    158,187x = 115,985,200,356
  5. Step 5: Solve for x
    x = 115,985,200,356/158,187
  6. Step 6: Final answer
    x = 733,215.75

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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.