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Finding the Third Proportional to 224,304.19 and 336,456.28

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Solution

The third proportional to 224,304.19 and 336,456.28 is: 504,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,304.19 : 336,456.28 = 336,456.28 : x
  2. Step 2: Convert to fraction form
    224,304.19/336,456.28 = 336,456.28/x
  3. Step 3: Cross multiply
    224,304.19x = 336,456.28 × 336,456.28
  4. Step 4: Simplify right side
    224,304.19x = 113,202,829,192.58
  5. Step 5: Solve for x
    x = 113,202,829,192.58/224,304.19
  6. Step 6: Final answer
    x = 504,684.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.