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Finding the Third Proportional to 171,970.13 and 356,090.25

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Solution

The third proportional to 171,970.13 and 356,090.25 is: 737,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,970.13 : 356,090.25 = 356,090.25 : x
  2. Step 2: Convert to fraction form
    171,970.13/356,090.25 = 356,090.25/x
  3. Step 3: Cross multiply
    171,970.13x = 356,090.25 × 356,090.25
  4. Step 4: Simplify right side
    171,970.13x = 126,800,266,145.06
  5. Step 5: Solve for x
    x = 126,800,266,145.06/171,970.13
  6. Step 6: Final answer
    x = 737,338.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.