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Finding the Third Proportional to 156,461.63 and 320,361.33

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Solution

The third proportional to 156,461.63 and 320,361.33 is: 655,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,461.63 : 320,361.33 = 320,361.33 : x
  2. Step 2: Convert to fraction form
    156,461.63/320,361.33 = 320,361.33/x
  3. Step 3: Cross multiply
    156,461.63x = 320,361.33 × 320,361.33
  4. Step 4: Simplify right side
    156,461.63x = 102,631,380,558.01
  5. Step 5: Solve for x
    x = 102,631,380,558.01/156,461.63
  6. Step 6: Final answer
    x = 655,952.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.