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Finding the Third Proportional to 229,395.80 and 504,171.84

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Solution

The third proportional to 229,395.80 and 504,171.84 is: 1,108,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,395.80 : 504,171.84 = 504,171.84 : x
  2. Step 2: Convert to fraction form
    229,395.80/504,171.84 = 504,171.84/x
  3. Step 3: Cross multiply
    229,395.80x = 504,171.84 × 504,171.84
  4. Step 4: Simplify right side
    229,395.80x = 254,189,248,030.27
  5. Step 5: Solve for x
    x = 254,189,248,030.27/229,395.80
  6. Step 6: Final answer
    x = 1,108,081.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.