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Finding the Third Proportional to 146,787.61 and 224,919.91

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Solution

The third proportional to 146,787.61 and 224,919.91 is: 344,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,787.61 : 224,919.91 = 224,919.91 : x
  2. Step 2: Convert to fraction form
    146,787.61/224,919.91 = 224,919.91/x
  3. Step 3: Cross multiply
    146,787.61x = 224,919.91 × 224,919.91
  4. Step 4: Simplify right side
    146,787.61x = 50,588,967,741.88
  5. Step 5: Solve for x
    x = 50,588,967,741.88/146,787.61
  6. Step 6: Final answer
    x = 344,640.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.