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Finding the Third Proportional to 229,057.88 and 464,270.48

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Solution

The third proportional to 229,057.88 and 464,270.48 is: 941,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,057.88 : 464,270.48 = 464,270.48 : x
  2. Step 2: Convert to fraction form
    229,057.88/464,270.48 = 464,270.48/x
  3. Step 3: Cross multiply
    229,057.88x = 464,270.48 × 464,270.48
  4. Step 4: Simplify right side
    229,057.88x = 215,547,082,661.80
  5. Step 5: Solve for x
    x = 215,547,082,661.80/229,057.88
  6. Step 6: Final answer
    x = 941,015.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.