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Finding the Third Proportional to 158,240 and 342,616

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Solution

The third proportional to 158,240 and 342,616 is: 741,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,240 : 342,616 = 342,616 : x
  2. Step 2: Convert to fraction form
    158,240/342,616 = 342,616/x
  3. Step 3: Cross multiply
    158,240x = 342,616 × 342,616
  4. Step 4: Simplify right side
    158,240x = 117,385,723,456
  5. Step 5: Solve for x
    x = 117,385,723,456/158,240
  6. Step 6: Final answer
    x = 741,820.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.