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Finding the Third Proportional to 158,090.63 and 231,220.69

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Solution

The third proportional to 158,090.63 and 231,220.69 is: 338,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,090.63 : 231,220.69 = 231,220.69 : x
  2. Step 2: Convert to fraction form
    158,090.63/231,220.69 = 231,220.69/x
  3. Step 3: Cross multiply
    158,090.63x = 231,220.69 × 231,220.69
  4. Step 4: Simplify right side
    158,090.63x = 53,463,006,327.97
  5. Step 5: Solve for x
    x = 53,463,006,327.97/158,090.63
  6. Step 6: Final answer
    x = 338,179.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.