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Finding the Third Proportional to 146,590 and 224,625

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Solution

The third proportional to 146,590 and 224,625 is: 344,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,590 : 224,625 = 224,625 : x
  2. Step 2: Convert to fraction form
    146,590/224,625 = 224,625/x
  3. Step 3: Cross multiply
    146,590x = 224,625 × 224,625
  4. Step 4: Simplify right side
    146,590x = 50,456,390,625
  5. Step 5: Solve for x
    x = 50,456,390,625/146,590
  6. Step 6: Final answer
    x = 344,200.77

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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.