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Finding the Third Proportional to 95,512 and 224,668

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Solution

The third proportional to 95,512 and 224,668 is: 528,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,512 : 224,668 = 224,668 : x
  2. Step 2: Convert to fraction form
    95,512/224,668 = 224,668/x
  3. Step 3: Cross multiply
    95,512x = 224,668 × 224,668
  4. Step 4: Simplify right side
    95,512x = 50,475,710,224
  5. Step 5: Solve for x
    x = 50,475,710,224/95,512
  6. Step 6: Final answer
    x = 528,475.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.