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Finding the Third Proportional to 229,004.25 and 336,663.75

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Solution

The third proportional to 229,004.25 and 336,663.75 is: 494,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,004.25 : 336,663.75 = 336,663.75 : x
  2. Step 2: Convert to fraction form
    229,004.25/336,663.75 = 336,663.75/x
  3. Step 3: Cross multiply
    229,004.25x = 336,663.75 × 336,663.75
  4. Step 4: Simplify right side
    229,004.25x = 113,342,480,564.06
  5. Step 5: Solve for x
    x = 113,342,480,564.06/229,004.25
  6. Step 6: Final answer
    x = 494,936.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.