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Finding the Third Proportional to 224,304.19 and 293,194.69

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Solution

The third proportional to 224,304.19 and 293,194.69 is: 383,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,304.19 : 293,194.69 = 293,194.69 : x
  2. Step 2: Convert to fraction form
    224,304.19/293,194.69 = 293,194.69/x
  3. Step 3: Cross multiply
    224,304.19x = 293,194.69 × 293,194.69
  4. Step 4: Simplify right side
    224,304.19x = 85,963,124,778.22
  5. Step 5: Solve for x
    x = 85,963,124,778.22/224,304.19
  6. Step 6: Final answer
    x = 383,243.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.