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Finding the Third Proportional to 104,024 and 224,078

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Solution

The third proportional to 104,024 and 224,078 is: 482,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,024 : 224,078 = 224,078 : x
  2. Step 2: Convert to fraction form
    104,024/224,078 = 224,078/x
  3. Step 3: Cross multiply
    104,024x = 224,078 × 224,078
  4. Step 4: Simplify right side
    104,024x = 50,210,950,084
  5. Step 5: Solve for x
    x = 50,210,950,084/104,024
  6. Step 6: Final answer
    x = 482,686.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.