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Finding the Third Proportional to 154,520.16 and 320,884.03

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Solution

The third proportional to 154,520.16 and 320,884.03 is: 666,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,520.16 : 320,884.03 = 320,884.03 : x
  2. Step 2: Convert to fraction form
    154,520.16/320,884.03 = 320,884.03/x
  3. Step 3: Cross multiply
    154,520.16x = 320,884.03 × 320,884.03
  4. Step 4: Simplify right side
    154,520.16x = 102,966,561,511.25
  5. Step 5: Solve for x
    x = 102,966,561,511.25/154,520.16
  6. Step 6: Final answer
    x = 666,363.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.