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Finding the Third Proportional to 224,240 and 347,568

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Solution

The third proportional to 224,240 and 347,568 is: 538,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,240 : 347,568 = 347,568 : x
  2. Step 2: Convert to fraction form
    224,240/347,568 = 347,568/x
  3. Step 3: Cross multiply
    224,240x = 347,568 × 347,568
  4. Step 4: Simplify right side
    224,240x = 120,803,514,624
  5. Step 5: Solve for x
    x = 120,803,514,624/224,240
  6. Step 6: Final answer
    x = 538,724.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.