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Finding the Third Proportional to 140,548 and 224,794

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Solution

The third proportional to 140,548 and 224,794 is: 359,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,548 : 224,794 = 224,794 : x
  2. Step 2: Convert to fraction form
    140,548/224,794 = 224,794/x
  3. Step 3: Cross multiply
    140,548x = 224,794 × 224,794
  4. Step 4: Simplify right side
    140,548x = 50,532,342,436
  5. Step 5: Solve for x
    x = 50,532,342,436/140,548
  6. Step 6: Final answer
    x = 359,537.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.