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Finding the Third Proportional to 155,540 and 320,895

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Solution

The third proportional to 155,540 and 320,895 is: 662,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,540 : 320,895 = 320,895 : x
  2. Step 2: Convert to fraction form
    155,540/320,895 = 320,895/x
  3. Step 3: Cross multiply
    155,540x = 320,895 × 320,895
  4. Step 4: Simplify right side
    155,540x = 102,973,601,025
  5. Step 5: Solve for x
    x = 102,973,601,025/155,540
  6. Step 6: Final answer
    x = 662,039.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.