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Finding the Third Proportional to 90,024 and 208,416

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Solution

The third proportional to 90,024 and 208,416 is: 482,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,024 : 208,416 = 208,416 : x
  2. Step 2: Convert to fraction form
    90,024/208,416 = 208,416/x
  3. Step 3: Cross multiply
    90,024x = 208,416 × 208,416
  4. Step 4: Simplify right side
    90,024x = 43,437,229,056
  5. Step 5: Solve for x
    x = 43,437,229,056/90,024
  6. Step 6: Final answer
    x = 482,507.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.