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Finding the Third Proportional to 158,600.25 and 343,336.50

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Solution

The third proportional to 158,600.25 and 343,336.50 is: 743,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,600.25 : 343,336.50 = 343,336.50 : x
  2. Step 2: Convert to fraction form
    158,600.25/343,336.50 = 343,336.50/x
  3. Step 3: Cross multiply
    158,600.25x = 343,336.50 × 343,336.50
  4. Step 4: Simplify right side
    158,600.25x = 117,879,952,232.25
  5. Step 5: Solve for x
    x = 117,879,952,232.25/158,600.25
  6. Step 6: Final answer
    x = 743,252.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.